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BT 123.461 716.845 Td /F2 24.0 Tf [(G2 manifolds Workshop Talk Schedule)] TJ ET
BT 282.764 677.782 Td /F2 18.0 Tf [(Events for:)] TJ ET
BT 136.010 656.355 Td /F2 18.0 Tf [(Tuesday, September 2nd - Friday, September 5th)] TJ ET
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BT 251.417 620.083 Td /F2 14.0 Tf [(Tuesday, September 2nd)] TJ ET
BT 36.266 602.206 Td /F1 12.0 Tf [(8:30am)] TJ ET
BT 83.686 601.601 Td /F2 12.0 Tf [(Registration/breakfast - SCGP Lobby/Cafe)] TJ ET
BT 36.266 581.950 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 83.686 581.345 Td /F2 12.0 Tf [(Diarmuid Crowley - SCGP 102)] TJ ET
BT 83.686 551.974 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 551.974 Td /F1 12.0 Tf [(New invariants in G_2 topology )] TJ ET
BT 83.686 523.289 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 523.289 Td /F1 12.0 Tf [( The \\nu-invariant is a Z/48-valued invariant of G_2-structures on 7-manifolds M up to )] TJ ET
BT 83.686 509.033 Td /F1 12.0 Tf [(homotopies and diffeomorphisms. In this talk I will report on joint work with Johannes Nordström )] TJ ET
BT 83.686 494.777 Td /F1 12.0 Tf [(about computations of the \\nu-invariant for twisted connected sum G_2-manifolds. I will also report )] TJ ET
BT 83.686 480.521 Td /F1 12.0 Tf [(on work of Johannes Nordström and Sebastian Goette computing the \\nu-invariant for other G_2-)] TJ ET
BT 83.686 466.265 Td /F1 12.0 Tf [(manifolds: this will be presented in detail in the following talk by Johannes Nordström. When M is )] TJ ET
BT 83.686 452.009 Td /F1 12.0 Tf [(2-connected, the \\nu-invariant leads to a complete classification of G_2-structures on M up to )] TJ ET
BT 83.686 437.753 Td /F1 12.0 Tf [(homotopies and diffeomorphisms. For many examples of interest the \\nu-invariant is a complete )] TJ ET
BT 83.686 423.382 Td /F1 12.0 Tf [(invariant.)] TJ ET
BT 36.266 380.302 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 83.686 379.697 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 360.046 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 83.686 359.441 Td /F2 12.0 Tf [(Johannes Nordstrom - SCGP 102)] TJ ET
BT 83.686 330.070 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 330.070 Td /F1 12.0 Tf [(Disconnecting the G_2 moduli space )] TJ ET
BT 83.686 301.385 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 301.385 Td /F1 12.0 Tf [(I will describe how the homotopy invariant of G_2-structures on closed 7-manifolds )] TJ ET
BT 83.686 287.129 Td /F1 12.0 Tf [(introduced in Diarmuid Crowley's talk can be defined analytically. This intrinsic definition makes it )] TJ ET
BT 83.686 272.873 Td /F1 12.0 Tf [(possible to compute the invariant for a class of closed G_2-manifolds generalising the well-known )] TJ ET
BT 83.686 258.617 Td /F1 12.0 Tf [(twisted connected sums, leading to examples of closed 7-manifolds where one can use the )] TJ ET
BT 83.686 244.361 Td /F1 12.0 Tf [(homotopy theory of G_2-structures to distinguish between connected components of the moduli )] TJ ET
BT 83.686 230.105 Td /F1 12.0 Tf [(space of holonomy G_2 metrics. Moreover, the analytic definition leads to a more refined invariant )] TJ ET
BT 83.686 215.849 Td /F1 12.0 Tf [(that can in some cases even distinguish between G_2-metrics whose associated G_2-structures are )] TJ ET
BT 83.686 201.478 Td /F1 12.0 Tf [(homotopic. This talk is based on joint work with Diarmuid Crowley and Sebastian Goette.)] TJ ET
BT 36.266 158.398 Td /F1 12.0 Tf [(11:30am)] TJ ET
BT 83.686 157.793 Td /F2 12.0 Tf [(AST-105 - SCGP 103)] TJ ET
BT 36.266 138.142 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 83.686 137.537 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 117.886 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 83.686 117.281 Td /F2 12.0 Tf [(Ian Hambleton - SCGP 102)] TJ ET
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BT 83.686 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 732.214 Td /F1 12.0 Tf [(Smooth group actions on 4-manifolds and Yang-Mills gauge theory )] TJ ET
BT 83.686 703.529 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 703.529 Td /F1 12.0 Tf [(An equivariant version of the Yang-Mills moduli spaces can provide information and )] TJ ET
BT 83.686 689.273 Td /F1 12.0 Tf [("hidden" constraints for smooth actions of finite groups on 4-manifolds. I will discuss this setting )] TJ ET
BT 83.686 675.017 Td /F1 12.0 Tf [(and present some sample results illustrating the difference between smooth and topological group )] TJ ET
BT 83.686 660.646 Td /F1 12.0 Tf [(actions.)] TJ ET
BT 36.266 617.566 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 83.686 616.961 Td /F2 12.0 Tf [(Short Break)] TJ ET
BT 36.266 597.310 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 83.686 596.705 Td /F2 12.0 Tf [(Marisa Fernandez - SCGP 102)] TJ ET
BT 83.686 567.334 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 567.334 Td /F1 12.0 Tf [(Formality in cosymplectic and Sasakian geometries )] TJ ET
BT 83.686 538.649 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 538.649 Td /F1 12.0 Tf [(n this talk, we give conditions under which a mapping torus, not necessarily symplectic, )] TJ ET
BT 83.686 524.393 Td /F1 12.0 Tf [(has a non-zero Massey product. We apply this to prove that there are non-formal compact )] TJ ET
BT 83.686 510.137 Td /F1 12.0 Tf [(cosymplectic manifolds of dimension $m$ $\(=2n+1\)$ and with first Betti number $b$ if and only if )] TJ ET
BT 83.686 495.881 Td /F1 12.0 Tf [($m=3$ and $b \\geq 2$, or $m \\geq 5$ and $b \\geq 1$. On the other hand, we prove that all higher )] TJ ET
BT 83.686 481.625 Td /F1 12.0 Tf [(Massey products on any simply connected Sasakian manifold vanish. Nevertheless, for every )] TJ ET
BT 83.686 467.369 Td /F1 12.0 Tf [($n\\geq3$, we exhibit the first examples of simply connected compact Sasakian manifolds of )] TJ ET
BT 83.686 453.113 Td /F1 12.0 Tf [(dimension $2n+1$ which are non-formal because they have a non-zero triple Massey product. )] TJ ET
BT 83.686 438.742 Td /F1 12.0 Tf [(\(Joint work with G. Bazzoni, I. Biswas, V. Munoz and A. Tralle\))] TJ ET
BT 36.266 395.662 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 83.686 395.057 Td /F2 12.0 Tf [(Tea Time - SCGP Lobby/Patio)] TJ ET
BT 36.266 375.406 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 83.686 374.801 Td /F2 12.0 Tf [(Matthias Kreck: G2 manifolds talk & Math's Geometry/Topology seminar - SCGP 103)] TJ ET
BT 83.686 345.430 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 345.430 Td /F1 12.0 Tf [(From Kaluza-Klein manifolds to Calabi-Yau manifolds )] TJ ET
BT 83.686 316.630 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 316.630 Td /F1 12.0 Tf [(TBA)] TJ ET
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BT 242.870 270.295 Td /F2 14.0 Tf [(Wednesday, September 3rd)] TJ ET
BT 36.266 252.418 Td /F1 12.0 Tf [(8:30am)] TJ ET
BT 83.686 251.813 Td /F2 12.0 Tf [(Breakfast - SCGP Cafe)] TJ ET
BT 36.266 232.162 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 83.686 231.557 Td /F2 12.0 Tf [(Anna Fino - SCGP 102)] TJ ET
BT 83.686 202.186 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 202.186 Td /F1 12.0 Tf [(G_2 structures and Ricci solitons )] TJ ET
BT 83.686 173.501 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 173.501 Td /F1 12.0 Tf [(In this talk we present some general results about $G_2$-structures whose underlying )] TJ ET
BT 83.686 159.245 Td /F1 12.0 Tf [(Riemannian metric is Einstein, as well as recent results on the existence of left invariant closed )] TJ ET
BT 83.686 144.989 Td /F1 12.0 Tf [($G_2$ forms determining a Ricci soliton metric on nilpotent Lie groups. For each one of these )] TJ ET
BT 83.686 130.733 Td /F1 12.0 Tf [(structures, we prove a long time existence and uniqueness of solution for the Laplacian flow and we )] TJ ET
BT 83.686 116.477 Td /F1 12.0 Tf [(show that the solution converges to a flat $G_2$-structure. This talk is based on joint work with )] TJ ET
BT 83.686 102.106 Td /F1 12.0 Tf [(Marisa Fernandez and Victor Manero. )] TJ ET
BT 36.266 59.026 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 83.686 58.421 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
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BT 36.266 744.934 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 83.686 744.329 Td /F2 12.0 Tf [(Jason Lotay - SCGP 102)] TJ ET
BT 83.686 714.958 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 714.958 Td /F1 12.0 Tf [(Coupled flows and calibrated geometry )] TJ ET
BT 83.686 686.273 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 686.273 Td /F1 12.0 Tf [(A key proposal for solving the difficult problem of finding calibrated special Lagrangian )] TJ ET
BT 83.686 672.017 Td /F1 12.0 Tf [(representatives in homology classes in Calabi-Yau manifolds is to use mean curvature flow. This )] TJ ET
BT 83.686 657.761 Td /F1 12.0 Tf [(programme rests on the crucial and surprising fact that here mean curvature flow preserves the )] TJ ET
BT 83.686 643.505 Td /F1 12.0 Tf [(Lagrangian condition. I will discuss generalisations of this phenomenon to the symplectic and G_2 )] TJ ET
BT 83.686 629.249 Td /F1 12.0 Tf [(settings, where the submanifold flow preserves a distinguished class of submanifolds only once it is )] TJ ET
BT 83.686 614.993 Td /F1 12.0 Tf [(coupled to a deformation of the ambient structure, thus revealing a natural flow for the symplectic )] TJ ET
BT 83.686 600.622 Td /F1 12.0 Tf [(or G_2 structure as well as for the submanifolds.)] TJ ET
BT 36.266 557.542 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 83.686 556.937 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 537.286 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 83.686 536.681 Td /F2 12.0 Tf [(Ronan Conlon - SCGP 102)] TJ ET
BT 83.686 507.310 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 507.310 Td /F1 12.0 Tf [(An affine Calabi-Yau manifold with irregular tangent cone at infinity )] TJ ET
BT 83.686 478.625 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 478.625 Td /F1 12.0 Tf [(An asymptotically conical \(AC\) Calabi-Yau manifold is a non-compact Ricci-flat Kahler )] TJ ET
BT 83.686 464.369 Td /F1 12.0 Tf [(manifold modelled on a Ricci-flat Kahler cone at infinity. I will present a new example of an AC )] TJ ET
BT 83.686 450.113 Td /F1 12.0 Tf [(Calabi-Yau manifold with asymptotic model an irregular Ricci-flat Kahler cone. This example in )] TJ ET
BT 83.686 435.857 Td /F1 12.0 Tf [(particular provides the first example of an affine Ricci-flat Kahler manifold of Euclidean volume )] TJ ET
BT 83.686 421.486 Td /F1 12.0 Tf [(growth with irregular tangent cone at infinity. This is joint work with Hans-Joachim Hein \(UMD\).)] TJ ET
BT 36.266 378.406 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 83.686 377.801 Td /F2 12.0 Tf [(Short Break)] TJ ET
BT 36.266 358.150 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 83.686 357.545 Td /F2 12.0 Tf [(Yohsuke Imagi - SCGP 102)] TJ ET
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BT 83.686 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 732.214 Td /F1 12.0 Tf [(Singularities of Special Lagrangian Submanifolds )] TJ ET
BT 83.686 703.529 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 703.529 Td /F1 12.0 Tf [(Special Lagrangian submanifolds are calibrated submanifolds of Calabi--Yau manifolds )] TJ ET
BT 83.686 689.273 Td /F1 12.0 Tf [(\(not of G_2-manifolds\). They are area-minimizing with respect to the Calabi--Yau metric and )] TJ ET
BT 83.686 675.017 Td /F1 12.0 Tf [(Lagrangian with respect to its Kahler form. The moduli space of compact special Lagrangian )] TJ ET
BT 83.686 660.761 Td /F1 12.0 Tf [(submanifolds \(of a fixed Calabi--Yau manifold\) is smooth by a theorem of Mclean, but it need not )] TJ ET
BT 83.686 646.505 Td /F1 12.0 Tf [(be compact because some special Lagrangian submanifolds tend to singular special Lagrangians, )] TJ ET
BT 83.686 632.249 Td /F1 12.0 Tf [(which are currents or varifolds rather than submanifolds. The space of all compactly-supported )] TJ ET
BT 83.686 617.993 Td /F1 12.0 Tf [(special Lagrangian \(integral\) currents \(without boundary and with a fixed homology class in a fixed )] TJ ET
BT 83.686 603.737 Td /F1 12.0 Tf [(Calabi--Yau manifold\) is compact by a therem of Federer and Fleming, but it seems very difficult )] TJ ET
BT 83.686 589.481 Td /F1 12.0 Tf [(to find a "nice" structure on the space of special Lagrangian currents; by nice I mean something like )] TJ ET
BT 83.686 575.225 Td /F1 12.0 Tf [(manifolds-with-corner which enables one to define counting invariants of special Lagrangians, )] TJ ET
BT 83.686 560.969 Td /F1 12.0 Tf [(ideally. To do so we have to develop a deep theory on singularities of special Lagrangians, which is )] TJ ET
BT 83.686 546.713 Td /F1 12.0 Tf [(interesting itself and will be also important in other problems \(including the SYZ conjecture for )] TJ ET
BT 83.686 532.457 Td /F1 12.0 Tf [(instance\). I've studied two kinds of isolated singularities of special Lagrangians: one is modelled on )] TJ ET
BT 83.686 518.201 Td /F1 12.0 Tf [(Clifford T^2-cones and the other is modelled on the union of transversely-intersecting two planes. )] TJ ET
BT 83.686 503.945 Td /F1 12.0 Tf [(Let X be a compact special Lagrangian 3-fold with Clifford T^2-cone singularities. I've determined )] TJ ET
BT 83.686 489.689 Td /F1 12.0 Tf [(a neighbourhood of X in the space of special Lagrangian currents; I'll give a sketch of the proof in )] TJ ET
BT 83.686 475.433 Td /F1 12.0 Tf [(the talk. I want to do something similar for the singularities modelled on the union of two planes, )] TJ ET
BT 83.686 461.177 Td /F1 12.0 Tf [(but it's more difficult and seems to require something new. Joyce, Oliveira dos Santos and I have )] TJ ET
BT 83.686 446.921 Td /F1 12.0 Tf [(proved a uniqueness theorem for "exact" special Lagrangians in C^m asymptotic at infinity to the )] TJ ET
BT 83.686 432.665 Td /F1 12.0 Tf [(union of two planes. Exactness is a sufficient condition for Lagrangian Floer cohomology to be )] TJ ET
BT 83.686 418.294 Td /F1 12.0 Tf [(well-defined, which is essential to our proof. )] TJ ET
BT 36.266 375.214 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 83.686 374.609 Td /F2 12.0 Tf [(Tea Time - SCGP Lobby/Patio)] TJ ET
BT 36.266 354.958 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 83.686 354.353 Td /F2 12.0 Tf [(Jake Solomon - SCGP 102)] TJ ET
BT 83.686 324.982 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 324.982 Td /F1 12.0 Tf [(Geometry of the space of positive Lagrangians )] TJ ET
BT 83.686 296.297 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 296.297 Td /F1 12.0 Tf [(A Lagrangian submanifold of a Calabi-Yau manifold is called positive if the real part of )] TJ ET
BT 83.686 282.041 Td /F1 12.0 Tf [(the holomorphic volume form restricted to it is positive. A Hamiltonian isotopy class of positive )] TJ ET
BT 83.686 267.785 Td /F1 12.0 Tf [(Lagrangian submanifolds admits a Riemannian metric with non-positive curvature. Its universal )] TJ ET
BT 83.686 253.529 Td /F1 12.0 Tf [(cover admits a functional, with critical points special Lagrangians, that is strictly convex with )] TJ ET
BT 83.686 239.273 Td /F1 12.0 Tf [(respect to the metric. Solutions of the geodesic equation, both smooth \(with A. Yuval\) and viscosity )] TJ ET
BT 83.686 225.017 Td /F1 12.0 Tf [(\(with Y. Rubinstein\), will be discussed. Mirror symmetry relates these phenomena to analogous )] TJ ET
BT 83.686 210.761 Td /F1 12.0 Tf [(phenomena for the space of Hermitian metrics on a holomorphic vector bundle and the space of )] TJ ET
BT 83.686 196.390 Td /F1 12.0 Tf [(Kahler metrics.)] TJ ET
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BT 249.086 150.055 Td /F2 14.0 Tf [(Thursday, September 4th)] TJ ET
BT 36.266 132.178 Td /F1 12.0 Tf [(8:30am)] TJ ET
BT 83.686 131.573 Td /F2 12.0 Tf [(Breakfast - SCGP Cafe)] TJ ET
BT 36.266 111.922 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 83.686 111.317 Td /F2 12.0 Tf [(Sergei Gukov - SCGP 102)] TJ ET
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BT 83.686 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 732.214 Td /F1 12.0 Tf [(Singularities of G2 manifolds: geometry and physics )] TJ ET
BT 83.686 703.414 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 703.414 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 660.334 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 83.686 659.729 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 640.078 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 83.686 639.473 Td /F2 12.0 Tf [(Dave Morrison - SCGP 102)] TJ ET
BT 83.686 610.102 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 610.102 Td /F1 12.0 Tf [(Singular limits of G2 metrics and non-abelian gauge symmetry in M-theory )] TJ ET
BT 83.686 581.302 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 581.302 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 538.222 Td /F1 12.0 Tf [(11:30am)] TJ ET
BT 83.686 537.617 Td /F2 12.0 Tf [(AST-105 - SCGP 103)] TJ ET
BT 36.266 517.966 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 83.686 517.361 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 497.710 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 83.686 497.105 Td /F2 12.0 Tf [(Gordon Kane - SCGP 102)] TJ ET
BT 83.686 467.734 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 467.734 Td /F1 12.0 Tf [(M-theory Compactified on a G2 Manifold – Connections to our real 4D world )] TJ ET
BT 83.686 438.934 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 438.934 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 395.854 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 83.686 395.249 Td /F2 12.0 Tf [(Short Break)] TJ ET
BT 36.266 375.598 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 83.686 374.993 Td /F2 12.0 Tf [(Antonella Grassi - SCGP 102)] TJ ET
BT 83.686 345.622 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 345.622 Td /F1 12.0 Tf [(Elliptic fibrations in F-theory via deformations )] TJ ET
BT 83.686 316.822 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 316.822 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 273.742 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 83.686 273.137 Td /F2 12.0 Tf [(Tea Time - SCGP Lobby/Patio)] TJ ET
BT 36.266 253.486 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 83.686 252.881 Td /F2 12.0 Tf [(Mirjam Cvetic - SCGP 102)] TJ ET
BT 83.686 223.625 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 223.625 Td /F1 12.0 Tf [(Elliptic Fibrations with Higher Rank Mordell-Weil Groups: F-Theory Compactifications )] TJ ET
BT 83.686 209.254 Td /F1 12.0 Tf [(with Higher Rank Abelian Symmetries )] TJ ET
BT 83.686 180.454 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 180.454 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 137.374 Td /F1 12.0 Tf [(6:00pm)] TJ ET
BT 83.686 136.769 Td /F2 12.0 Tf [(Workshop Banquet)] TJ ET
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BT 258.039 113.863 Td /F2 14.0 Tf [(Friday, September 5th)] TJ ET
BT 36.266 95.986 Td /F1 12.0 Tf [(8:30am)] TJ ET
BT 83.686 95.381 Td /F2 12.0 Tf [(Breakfast - SCGP Cafe)] TJ ET
BT 36.266 75.730 Td /F1 12.0 Tf [(9:30am)] TJ ET
BT 83.686 75.125 Td /F2 12.0 Tf [(Thomas Walpuski - SCGP 102)] TJ ET
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BT 83.686 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 732.214 Td /F1 12.0 Tf [(G_2–instantons and the Seiberg–Witten equation with multiple spinors )] TJ ET
BT 83.686 703.414 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 703.414 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 660.334 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 83.686 659.729 Td /F2 12.0 Tf [(Coffee Break - SCGP Cafe)] TJ ET
BT 36.266 640.078 Td /F1 12.0 Tf [(11:00am)] TJ ET
BT 83.686 639.473 Td /F2 12.0 Tf [(Yalong Cao - SCGP 102)] TJ ET
BT 83.686 610.102 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 610.102 Td /F1 12.0 Tf [(Donaldson-Thomas theory for Calabi-Yau four-folds )] TJ ET
BT 83.686 581.417 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 581.417 Td /F1 12.0 Tf [(Let $X$ be a compact complex Calabi-Yau four-fold. Under certain assumptions, we )] TJ ET
BT 83.686 567.161 Td /F1 12.0 Tf [(define Donaldson-Thomas type deformation invariants \($DT_{4}$ invariants\) by studying moduli )] TJ ET
BT 83.686 552.905 Td /F1 12.0 Tf [(spaces of solutions to the Donaldson-Thomas equations on $X$. We also study sheaves counting )] TJ ET
BT 83.686 538.649 Td /F1 12.0 Tf [(problem on local Calabi-Yau four-folds. We relate $DT_{4}$ invariants of $K_{Y}$ to the )] TJ ET
BT 83.686 524.393 Td /F1 12.0 Tf [(Donaldson-Thomas invariants of the associated Fano three-fold $Y$. In some special cases, we )] TJ ET
BT 83.686 510.137 Td /F1 12.0 Tf [(prove a $DT_{4}/GW$ correspondence for $X$. When the Calabi-Yau four-fold is toric, we use )] TJ ET
BT 83.686 495.881 Td /F1 12.0 Tf [(the virtual localization formula to define the equivariant $DT_{4}$ invariants. There is a related )] TJ ET
BT 83.686 481.625 Td /F1 12.0 Tf [(work by D.Borisov and D.Joyce. We will mention their work and compare it with ours. This is a )] TJ ET
BT 83.686 467.254 Td /F1 12.0 Tf [(joint work with Naichung Conan Leung.)] TJ ET
BT 36.266 424.174 Td /F1 12.0 Tf [(12:00pm)] TJ ET
BT 83.686 423.569 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 403.918 Td /F1 12.0 Tf [(1:15pm)] TJ ET
BT 83.686 403.313 Td /F2 12.0 Tf [(Goncalo Oliveira - SCGP 102)] TJ ET
BT 83.686 373.942 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 373.942 Td /F1 12.0 Tf [(Monopoles on G2 manifolds )] TJ ET
BT 83.686 345.142 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 345.142 Td /F1 12.0 Tf [(TBA)] TJ ET
BT 36.266 302.062 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 83.686 301.457 Td /F2 12.0 Tf [(Short Break)] TJ ET
BT 36.266 281.806 Td /F1 12.0 Tf [(2:30pm)] TJ ET
BT 83.686 281.201 Td /F2 12.0 Tf [(David Baraglia - SCGP 102)] TJ ET
BT 83.686 251.830 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 251.830 Td /F1 12.0 Tf [(Associative and coassociative fibrations )] TJ ET
BT 83.686 223.145 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 223.145 Td /F1 12.0 Tf [(I will present some results and some open problems concerning calibrated fibrations of )] TJ ET
BT 83.686 208.889 Td /F1 12.0 Tf [(G2 and Spin\(7\)-manifolds whose fibers are associative, coassociative or Cayley. In the )] TJ ET
BT 83.686 194.633 Td /F1 12.0 Tf [(coassociative and Cayley cases such fibrations of compact manifolds must have singularities, but )] TJ ET
BT 83.686 180.377 Td /F1 12.0 Tf [(curiously this doesn't seem to be the case for associative fibrations. I will also discuss the case of )] TJ ET
BT 83.686 166.121 Td /F1 12.0 Tf [(semi-flat calibrated fibrations. These are associative, coassociative or Cayley fibrations whose )] TJ ET
BT 83.686 151.750 Td /F1 12.0 Tf [(fibers are flat tori.)] TJ ET
BT 36.266 108.670 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 83.686 108.065 Td /F2 12.0 Tf [(Tea Time - SCGP Lobby/Patio)] TJ ET
BT 36.266 88.414 Td /F1 12.0 Tf [(4:00pm)] TJ ET
BT 83.686 87.809 Td /F2 12.0 Tf [(Misha Verbitsky - SCGP 102)] TJ ET
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BT 83.686 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 114.682 732.214 Td /F1 12.0 Tf [(Kahler structure on the knot space of a G2-manifold )] TJ ET
BT 83.686 703.529 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 135.334 703.529 Td /F1 12.0 Tf [(A knot space in a manifold M is a space of oriented immersions from a circle S^1 to M )] TJ ET
BT 83.686 689.273 Td /F1 12.0 Tf [(up to Diff\(S^1\). Brylinski has shown that a knot space of a Riemannian threefold is formally )] TJ ET
BT 83.686 675.017 Td /F1 12.0 Tf [(Kahler. An elementary construction allows one to construct a Hermitian almost complex structure )] TJ ET
BT 83.686 660.761 Td /F1 12.0 Tf [(on the space of knots inside a 7-manifold M if its structure group is reduced to G2. I prove that this )] TJ ET
BT 83.686 646.505 Td /F1 12.0 Tf [(Hermitian structure is formally Kaehler if M has holonomy G2, and the formal integrability is )] TJ ET
BT 83.686 632.134 Td /F1 12.0 Tf [(equivalent to the holonomy condition.)] TJ ET
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