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BT 137.451 716.845 Td /F1 24.0 Tf [(Workshop: Matrix Factorizations in )] TJ ET
BT 196.779 688.333 Td /F1 24.0 Tf [(Mathematics and Physics)] TJ ET
BT 284.034 649.270 Td /F1 18.0 Tf [(Events for:)] TJ ET
BT 192.765 627.843 Td /F1 18.0 Tf [(Monday, June 12 - Friday, June 16)] TJ ET
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BT 255.610 586.232 Td /F1 17.2 Tf [(Monday, June 12th)] TJ ET
BT 36.266 563.228 Td /F2 12.0 Tf [(9:00am)] TJ ET
BT 86.146 563.228 Td /F1 12.0 Tf [(David Berenstein - SCGP 102)] TJ ET
BT 86.146 530.857 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 530.857 Td /F2 12.0 Tf [( D-branes, categories and super-potential algebras)] TJ ET
BT 86.146 502.172 Td /F1 12.0 Tf [(Abstract:)] TJ ET
BT 134.794 502.172 Td /F2 12.0 Tf [( I will describe some of the physics intuition that gives rise to a structure of categories of )] TJ ET
BT 86.146 487.916 Td /F2 12.0 Tf [(D-branes. I will then concentrate on the structure of the category of “point-like objects” near a )] TJ ET
BT 86.146 473.660 Td /F2 12.0 Tf [(singularity. This will use some examples of orbifolds and I will also show the concept of discrete )] TJ ET
BT 86.146 459.404 Td /F2 12.0 Tf [(torsion. I will then specialize further to situations that arise for the point-like branes that probe a )] TJ ET
BT 86.146 445.148 Td /F2 12.0 Tf [(Calabi-Yau singularity and use the physics intuition to show that one gets the notion of a “super )] TJ ET
BT 86.146 430.892 Td /F2 12.0 Tf [(potential algebra” and some of the properties they have for orbifolds.)] TJ ET
BT 36.266 384.236 Td /F2 12.0 Tf [(10:00am)] TJ ET
BT 86.146 384.236 Td /F1 12.0 Tf [(Break - SCGP Cafe)] TJ ET
BT 36.266 343.580 Td /F2 12.0 Tf [(10:30am)] TJ ET
BT 86.146 343.580 Td /F1 12.0 Tf [(David Berenstein - SCGP 102)] TJ ET
BT 86.146 311.209 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 311.209 Td /F2 12.0 Tf [( Regular super potential algebras)] TJ ET
BT 86.146 282.524 Td /F1 12.0 Tf [(Abstract:)] TJ ET
BT 134.794 282.524 Td /F2 12.0 Tf [( I will show some examples of super potential algebras, some will be orbifolds and some )] TJ ET
BT 86.146 268.268 Td /F2 12.0 Tf [(that do not correspond to orbifold singularities. I will describe how one expects the corresponding )] TJ ET
BT 86.146 254.012 Td /F2 12.0 Tf [(super potential algebras to be regular. And I will give some techniques for proving such regularity. )] TJ ET
BT 86.146 239.756 Td /F2 12.0 Tf [(Iw ill also talk about Seiberg -dualites and how they define equivalence classes of algebras. \(The )] TJ ET
BT 86.146 225.500 Td /F2 12.0 Tf [(equivalence class is a Derived equivalence of categories\))] TJ ET
BT 36.266 178.844 Td /F2 12.0 Tf [(11:30am)] TJ ET
BT 86.146 178.844 Td /F1 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 138.188 Td /F2 12.0 Tf [(1:00pm)] TJ ET
BT 86.146 138.188 Td /F1 12.0 Tf [(Johannes Walcher - SCGP 102)] TJ ET
BT 86.146 105.932 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 105.932 Td /F2 12.0 Tf [( Extended Frobenius manifolds and the Kapustin-Li formula)] TJ ET
BT 36.266 59.276 Td /F2 12.0 Tf [(2:15pm)] TJ ET
BT 86.146 59.276 Td /F1 12.0 Tf [(Antonella Grassi - SCGP 102)] TJ ET
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BT 86.146 732.329 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 732.329 Td /F2 12.0 Tf [( Terminal singularities of Calabi-Yau threefolds, Milnor numbers and applications to physics)] TJ ET
BT 36.266 649.408 Td /F2 12.0 Tf [(3:30pm)] TJ ET
BT 86.146 649.408 Td /F1 12.0 Tf [(Tea - SCGP Lobby)] TJ ET
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BT 255.127 600.762 Td /F1 17.2 Tf [(Tuesday, June 13th)] TJ ET
BT 36.266 577.759 Td /F2 12.0 Tf [(9:00am)] TJ ET
BT 86.146 577.759 Td /F1 12.0 Tf [(Matthew Ballard - SCGP 102)] TJ ET
BT 86.146 545.503 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 545.503 Td /F2 12.0 Tf [( Kernels for Orlov's theorem)] TJ ET
BT 36.266 498.847 Td /F2 12.0 Tf [(10:00am)] TJ ET
BT 86.146 498.847 Td /F1 12.0 Tf [(Break - SCGP Cafe)] TJ ET
BT 36.266 458.191 Td /F2 12.0 Tf [(10:30am)] TJ ET
BT 86.146 458.191 Td /F1 12.0 Tf [(Ludmil Katzarkov - SCGP 102)] TJ ET
BT 86.146 425.820 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 425.820 Td /F2 12.0 Tf [( Categories and Filtrations)] TJ ET
BT 86.146 397.135 Td /F1 12.0 Tf [(Abstract:)] TJ ET
BT 134.794 397.135 Td /F2 12.0 Tf [( In this talk we will introduce a new notion - filtration of iterated logs. We will consider )] TJ ET
BT 86.146 382.879 Td /F2 12.0 Tf [(possible application of this notion to classical questions in Geometry.)] TJ ET
BT 36.266 336.223 Td /F2 12.0 Tf [(11:30am)] TJ ET
BT 86.146 336.223 Td /F1 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 295.567 Td /F2 12.0 Tf [(1:00pm)] TJ ET
BT 86.146 295.567 Td /F1 12.0 Tf [(SCGP Weekly Talk: David Morrison - SCGP 102)] TJ ET
BT 86.146 263.196 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 263.196 Td /F2 12.0 Tf [( Matrix factorizations in physics: a mathematical perspective)] TJ ET
BT 86.146 234.511 Td /F1 12.0 Tf [(Abstract:)] TJ ET
BT 134.794 234.511 Td /F2 12.0 Tf [( Matrix factorizations were introduced into mathematics in 1980, and found their first )] TJ ET
BT 86.146 220.255 Td /F2 12.0 Tf [(applications to physics in 2003. I will explain the nature of these applications from a mathematical )] TJ ET
BT 86.146 205.999 Td /F2 12.0 Tf [(perspective.)] TJ ET
BT 36.266 159.343 Td /F2 12.0 Tf [(2:15pm)] TJ ET
BT 86.146 159.343 Td /F1 12.0 Tf [(Kentaro Hori - SCGP 102)] TJ ET
BT 86.146 126.972 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 126.972 Td /F2 12.0 Tf [( An introduction to the hemisphere partition function)] TJ ET
BT 86.146 98.287 Td /F1 12.0 Tf [(Abstract:)] TJ ET
BT 134.794 98.287 Td /F2 12.0 Tf [( I will talk about the hemisphere partition function of 2d \(2,2\) supersymmetric field )] TJ ET
BT 86.146 84.031 Td /F2 12.0 Tf [(theories and some of its applications, such as equivalences of categories, RG flow involving )] TJ ET
BT 86.146 69.775 Td /F2 12.0 Tf [(branes, and geometric/Landau-Ginzburg expansions.)] TJ ET
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BT 36.266 744.329 Td /F2 12.0 Tf [(3:30pm)] TJ ET
BT 86.146 744.329 Td /F1 12.0 Tf [(Tea - SCGP Lobby)] TJ ET
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BT 243.630 695.684 Td /F1 17.2 Tf [(Wednesday, June 14th)] TJ ET
BT 36.266 672.680 Td /F2 12.0 Tf [(9:00am)] TJ ET
BT 86.146 672.680 Td /F1 12.0 Tf [(Irena Peeva - SCGP 102)] TJ ET
BT 86.146 640.309 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 640.309 Td /F2 12.0 Tf [( Matrix factorizations and free resolutions)] TJ ET
BT 86.146 611.624 Td /F1 12.0 Tf [(Abstract:)] TJ ET
BT 134.794 611.624 Td /F2 12.0 Tf [( Matrix factorizations can be interprested as giving the minimal free resolutions of )] TJ ET
BT 86.146 597.368 Td /F2 12.0 Tf [(maximal Cohen-Macaulay modules \("high" syzygies\) over a hypersurface ring both as a module )] TJ ET
BT 86.146 583.112 Td /F2 12.0 Tf [(over the ambient ring and as a module over the hypersurface. The talk will first provide )] TJ ET
BT 86.146 568.856 Td /F2 12.0 Tf [(background on free resolutions, and then introduce the theory of higher matrix factorizations which )] TJ ET
BT 86.146 554.600 Td /F2 12.0 Tf [(gives the analogous results for high syzygies over complete intersections. All this is joint work )] TJ ET
BT 86.146 540.344 Td /F2 12.0 Tf [(with David Eisenbud, who will deliver a second part of the talk.)] TJ ET
BT 36.266 493.688 Td /F2 12.0 Tf [(10:15am)] TJ ET
BT 86.146 493.688 Td /F1 12.0 Tf [(David Eisenbud - SCGP 102)] TJ ET
BT 86.146 461.317 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 461.317 Td /F2 12.0 Tf [( Layered Resolutions)] TJ ET
BT 86.146 432.632 Td /F1 12.0 Tf [(Abstract:)] TJ ET
BT 134.794 432.632 Td /F2 12.0 Tf [( Layered resolutions incldue the resolutions derived from higher matrix factorizations )] TJ ET
BT 86.146 418.376 Td /F2 12.0 Tf [(that were described in the preceding talk. They are not defined equationally, but they are )] TJ ET
BT 86.146 404.120 Td /F2 12.0 Tf [(conceptually simpler as well as being more general. I will explain the necessary background -- the )] TJ ET
BT 86.146 389.864 Td /F2 12.0 Tf [(Auslander-Buchweitz theory of Cohen-Macaulay approximations -- and also the construction of )] TJ ET
BT 86.146 375.608 Td /F2 12.0 Tf [(layered resolutions. This is joint work with Irena Peeva.)] TJ ET
BT 36.266 328.952 Td /F2 12.0 Tf [(11:15am)] TJ ET
BT 86.146 328.952 Td /F1 12.0 Tf [(Break - SCGP Cafe)] TJ ET
BT 36.266 288.296 Td /F2 12.0 Tf [(11:45am)] TJ ET
BT 86.146 288.296 Td /F1 12.0 Tf [(David Morrison - SCGP 102)] TJ ET
BT 86.146 255.925 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 255.925 Td /F2 12.0 Tf [( Matrix factorizations in physics: a mathematical perspective II)] TJ ET
BT 86.146 227.240 Td /F1 12.0 Tf [(Abstract:)] TJ ET
BT 134.794 227.240 Td /F2 12.0 Tf [( Matrix factorizations were introduced into mathematics in 1980, and found their first )] TJ ET
BT 86.146 212.984 Td /F2 12.0 Tf [(applications to physics in 2003. I will explain the nature of these applications from a mathematical )] TJ ET
BT 86.146 198.728 Td /F2 12.0 Tf [(perspective.)] TJ ET
BT 36.266 152.072 Td /F2 12.0 Tf [(12:45pm)] TJ ET
BT 86.146 152.072 Td /F1 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 111.416 Td /F2 12.0 Tf [(3:30pm)] TJ ET
BT 86.146 111.416 Td /F1 12.0 Tf [(Tea - SCGP Lobby)] TJ ET
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BT 250.332 62.771 Td /F1 17.2 Tf [(Thursday, June 15th)] TJ ET
BT 36.266 39.767 Td /F2 12.0 Tf [(9:00am)] TJ ET
BT 86.146 39.767 Td /F1 12.0 Tf [(Andres Collinucci - SCGP 102)] TJ ET
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BT 86.146 729.329 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 729.329 Td /F2 12.0 Tf [( Monopole operators, going beyond the Auslander-Reiten quiver)] TJ ET
BT 36.266 682.673 Td /F2 12.0 Tf [(10:00am)] TJ ET
BT 86.146 682.673 Td /F1 12.0 Tf [(Break - SCGP Cafe)] TJ ET
BT 36.266 642.017 Td /F2 12.0 Tf [(10:30am)] TJ ET
BT 86.146 642.017 Td /F1 12.0 Tf [(Hailong Dao - SCGP 102)] TJ ET
BT 86.146 609.646 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 609.646 Td /F2 12.0 Tf [( Some categorical aspects of matrix factorizations)] TJ ET
BT 86.146 580.961 Td /F1 12.0 Tf [(Abstract:)] TJ ET
BT 134.794 580.961 Td /F2 12.0 Tf [( The category of matrix factorizations can be identified with certain category of maximal )] TJ ET
BT 86.146 566.705 Td /F2 12.0 Tf [(Cohen-Macaulay modules over the corresponding hypersurface \(or complete intersections, as in )] TJ ET
BT 86.146 552.449 Td /F2 12.0 Tf [(the recent work of Eisenbud-Peeva\). This point of view have been exploited heavily, and is still )] TJ ET
BT 86.146 538.193 Td /F2 12.0 Tf [(yielding surprising insights. In this talk I will survey some recent works in this direction. One part )] TJ ET
BT 86.146 523.937 Td /F2 12.0 Tf [(will focus on a certain pairing on the MCM modules which has interesting connections to K-theory )] TJ ET
BT 86.146 509.681 Td /F2 12.0 Tf [(and other cohomology theories. Another part will discuss Avramov-Buchweitz work on support )] TJ ET
BT 86.146 495.425 Td /F2 12.0 Tf [(varieties and a recent result that allows us to associate to certain tensor products of matrix )] TJ ET
BT 86.146 481.169 Td /F2 12.0 Tf [(factorization the geometric joint of the corresponding varieties.)] TJ ET
BT 36.266 434.513 Td /F2 12.0 Tf [(11:30am)] TJ ET
BT 86.146 434.513 Td /F1 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 393.857 Td /F2 12.0 Tf [(1:00pm)] TJ ET
BT 86.146 393.857 Td /F1 12.0 Tf [(David Morrison - SCGP 102)] TJ ET
BT 86.146 361.486 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 361.486 Td /F2 12.0 Tf [( Matrix factorizations in physics: a mathematical perspective III)] TJ ET
BT 86.146 332.801 Td /F1 12.0 Tf [(Abstract:)] TJ ET
BT 134.794 332.801 Td /F2 12.0 Tf [( Matrix factorizations were introduced into mathematics in 1980, and found their first )] TJ ET
BT 86.146 318.545 Td /F2 12.0 Tf [(applications to physics in 2003. I will explain the nature of these applications from a mathematical )] TJ ET
BT 86.146 304.289 Td /F2 12.0 Tf [(perspective.)] TJ ET
BT 36.266 257.633 Td /F2 12.0 Tf [(2:15pm)] TJ ET
BT 86.146 257.633 Td /F1 12.0 Tf [(Johanna Knapp - SCGP 102)] TJ ET
BT 86.146 225.377 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 225.377 Td /F2 12.0 Tf [( Deformation theory of matrix factorizations and physics applications)] TJ ET
BT 36.266 178.721 Td /F2 12.0 Tf [(3:30pm)] TJ ET
BT 86.146 178.721 Td /F1 12.0 Tf [(Tea - SCGP Lobby)] TJ ET
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BT 261.363 130.076 Td /F1 17.2 Tf [(Friday, June 16th)] TJ ET
BT 36.266 107.072 Td /F2 12.0 Tf [(9:00am)] TJ ET
BT 86.146 107.072 Td /F1 12.0 Tf [(David Favero - SCGP 102)] TJ ET
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BT 86.146 732.214 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 732.214 Td /F2 12.0 Tf [( Crepant Categorical Resolutions and a Toric Orlov Theorem)] TJ ET
BT 86.146 703.529 Td /F1 12.0 Tf [(Abstract:)] TJ ET
BT 134.794 703.529 Td /F2 12.0 Tf [( Desingularizing a variety is, of course, not unique. For example, there can be many )] TJ ET
BT 86.146 689.273 Td /F2 12.0 Tf [(crepant resolutions of a given space. However, in their pioneering work on derived categories, )] TJ ET
BT 86.146 675.017 Td /F2 12.0 Tf [(Bondal and Orlov conjectured that all such resolutions have equivalent derived categories. In this )] TJ ET
BT 86.146 660.761 Td /F2 12.0 Tf [(way, categorically resolving singularities may have some nicer properties that classical resolutions. )] TJ ET
BT 86.146 646.505 Td /F2 12.0 Tf [(I will discuss how a toric version of Orlov's theorem provides a method of obtaining categorical )] TJ ET
BT 86.146 632.249 Td /F2 12.0 Tf [(crepant resolutions can be given explicit geometric realizations as Landau-Ginzburg models. We )] TJ ET
BT 86.146 617.993 Td /F2 12.0 Tf [(will focus on some motivating examples such as Kuznetsov's categorical crepant resolution of the )] TJ ET
BT 86.146 603.737 Td /F2 12.0 Tf [(K3 category inside a singular cubic 4-fold. This is joint work with T. Kelly.)] TJ ET
BT 36.266 520.816 Td /F2 12.0 Tf [(10:15am)] TJ ET
BT 86.146 520.816 Td /F1 12.0 Tf [(Raffaele Savelli - SCGP 102)] TJ ET
BT 86.146 488.445 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 488.445 Td /F2 12.0 Tf [( F-theory on Singular Spaces)] TJ ET
BT 86.146 459.760 Td /F1 12.0 Tf [(Abstract:)] TJ ET
BT 134.794 459.760 Td /F2 12.0 Tf [( F-theory is a strong coupling formulation of Type IIB string theory which unifies )] TJ ET
BT 86.146 445.504 Td /F2 12.0 Tf [(gravitational and gauge theory data of 7-branes in the geometry of elliptic fibrations. In all )] TJ ET
BT 86.146 431.248 Td /F2 12.0 Tf [(situations of interest such fibrations are singular spaces, and, in order to describe the low-energy )] TJ ET
BT 86.146 416.992 Td /F2 12.0 Tf [(physics, one typically removes the singularities either via resolutions or deformations. On the )] TJ ET
BT 86.146 402.736 Td /F2 12.0 Tf [(contrary, in this talk, I will show how Matrix Factorizations allow us to access part of the physical )] TJ ET
BT 86.146 388.480 Td /F2 12.0 Tf [(data while working on the singular spaces directly. Besides correctly reproducing known results, )] TJ ET
BT 86.146 374.224 Td /F2 12.0 Tf [(this treatment enables us to explore certain supersymmetric string vacua which are invisible in the )] TJ ET
BT 86.146 359.968 Td /F2 12.0 Tf [(smooth phase.)] TJ ET
BT 36.266 313.312 Td /F2 12.0 Tf [(11:15am)] TJ ET
BT 86.146 313.312 Td /F1 12.0 Tf [(Break - SCGP Cafe)] TJ ET
BT 36.266 272.656 Td /F2 12.0 Tf [(11:45am)] TJ ET
BT 86.146 272.656 Td /F1 12.0 Tf [(Ragnar Buchweitz - SCGP 102)] TJ ET
BT 86.146 240.285 Td /F1 12.0 Tf [(Title:)] TJ ET
BT 114.142 240.285 Td /F2 12.0 Tf [( Matrix Factorizations and Tilting Objects)] TJ ET
BT 86.146 211.600 Td /F1 12.0 Tf [(Abstract:)] TJ ET
BT 134.794 211.600 Td /F2 12.0 Tf [( Whenever a triangulated category admits a tilting object T, it identifies with the derived )] TJ ET
BT 86.146 197.344 Td /F2 12.0 Tf [(category of E = End\(T\). How does one get back from that derived category to the original one? We )] TJ ET
BT 86.146 183.088 Td /F2 12.0 Tf [(describe an algorithm for the case that E is an artinian algebra of finite global dimension. As an )] TJ ET
BT 86.146 168.832 Td /F2 12.0 Tf [(example, we use this to identify all matrix factorizations of y^d - x^d for d ? 2, thus, answering a )] TJ ET
BT 86.146 154.576 Td /F2 12.0 Tf [(question raised several years ago by physicists. We will aa well discuss the case of cubic )] TJ ET
BT 86.146 140.320 Td /F2 12.0 Tf [(hepersurfaces, where some intriguing representation theoretic problems occur.)] TJ ET
BT 36.266 93.664 Td /F2 12.0 Tf [(12:45pm)] TJ ET
BT 86.146 93.664 Td /F1 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 53.008 Td /F2 12.0 Tf [(3:30pm)] TJ ET
BT 86.146 53.008 Td /F1 12.0 Tf [(Tea - SCGP Comm Room 515)] TJ ET
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