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BT 137.451 716.845 Td /F2 24.0 Tf [(Workshop: Matrix Factorizations in )] TJ ET
BT 196.779 688.333 Td /F2 24.0 Tf [(Mathematics and Physics)] TJ ET
BT 284.034 649.270 Td /F2 18.0 Tf [(Events for:)] TJ ET
BT 176.763 627.843 Td /F2 18.0 Tf [(Monday, June 12th - Friday, June 16th)] TJ ET
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BT 255.610 586.232 Td /F2 17.2 Tf [(Monday, June 12th)] TJ ET
BT 36.266 563.228 Td /F1 12.0 Tf [(9:00am)] TJ ET
BT 86.146 563.228 Td /F2 12.0 Tf [(David Berenstein - SCGP 102)] TJ ET
BT 86.146 530.857 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 530.857 Td /F1 12.0 Tf [(D-branes, categories and super-potential algebras )] TJ ET
BT 86.146 502.172 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 137.794 502.172 Td /F1 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 /F1 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 /F1 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 /F1 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 /F1 12.0 Tf [(Calabi-Yau singularity and use the physics intuition to show that one gets the notion of a “super )] TJ ET
BT 86.146 430.777 Td /F1 12.0 Tf [(potential algebra” and some of the properties they have for orbifolds. )] TJ ET
BT 36.266 387.092 Td /F1 12.0 Tf [(10:00am)] TJ ET
BT 86.146 387.092 Td /F2 12.0 Tf [(Break - SCGP Cafe)] TJ ET
BT 36.266 363.836 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 86.146 363.836 Td /F2 12.0 Tf [(David Berenstein - SCGP 102)] TJ ET
BT 86.146 331.465 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 331.465 Td /F1 12.0 Tf [(Regular super potential algebras )] TJ ET
BT 86.146 302.780 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 137.794 302.780 Td /F1 12.0 Tf [(I will show some examples of super potential algebras, some will be orbifolds and some )] TJ ET
BT 86.146 288.524 Td /F1 12.0 Tf [(that do not correspond to orbifold singularities. I will describe how one expects the corresponding )] TJ ET
BT 86.146 274.268 Td /F1 12.0 Tf [(super potential algebras to be regular. And I will give some techniques for proving such regularity. )] TJ ET
BT 86.146 260.012 Td /F1 12.0 Tf [(Iw ill also talk about Seiberg -dualites and how they define equivalence classes of algebras. \(The )] TJ ET
BT 86.146 245.641 Td /F1 12.0 Tf [(equivalence class is a Derived equivalence of categories\) )] TJ ET
BT 36.266 201.956 Td /F1 12.0 Tf [(11:30am)] TJ ET
BT 86.146 201.956 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 178.700 Td /F1 12.0 Tf [(1:00pm)] TJ ET
BT 86.146 178.700 Td /F2 12.0 Tf [(Johannes Walcher - SCGP 102)] TJ ET
BT 86.146 146.329 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 146.329 Td /F1 12.0 Tf [(Extended Frobenius manifolds and the Kapustin-Li formula )] TJ ET
BT 36.266 102.644 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 86.146 102.644 Td /F2 12.0 Tf [(Antonella Grassi - SCGP 102)] TJ ET
BT 86.146 70.273 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 70.273 Td /F1 12.0 Tf [(Terminal singularities of Calabi-Yau threefolds, Milnor numbers and applications to physics )] TJ ET
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BT 36.266 744.329 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 86.146 744.329 Td /F2 12.0 Tf [(Tea - SCGP Lobby)] TJ ET
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BT 255.127 713.084 Td /F2 17.2 Tf [(Tuesday, June 13th)] TJ ET
BT 36.266 690.080 Td /F1 12.0 Tf [(9:00am)] TJ ET
BT 86.146 690.080 Td /F2 12.0 Tf [(Matthew Ballard - SCGP 102)] TJ ET
BT 86.146 657.709 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 657.709 Td /F1 12.0 Tf [(Kernels for Orlov's theorem )] TJ ET
BT 36.266 614.024 Td /F1 12.0 Tf [(10:00am)] TJ ET
BT 86.146 614.024 Td /F2 12.0 Tf [(Break - SCGP Cafe)] TJ ET
BT 36.266 590.768 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 86.146 590.768 Td /F2 12.0 Tf [(Ludmil Katzarkov - SCGP 102)] TJ ET
BT 86.146 558.397 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 558.397 Td /F1 12.0 Tf [(Categories and Filtrations )] TJ ET
BT 86.146 529.712 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 137.794 529.712 Td /F1 12.0 Tf [(In this talk we will introduce a new notion - filtration of iterated logs. We will consider )] TJ ET
BT 86.146 515.341 Td /F1 12.0 Tf [(possible application of this notion to classical questions in Geometry. )] TJ ET
BT 36.266 471.656 Td /F1 12.0 Tf [(11:30am)] TJ ET
BT 86.146 471.656 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 448.400 Td /F1 12.0 Tf [(1:00pm)] TJ ET
BT 86.146 448.400 Td /F2 12.0 Tf [(SCGP Weekly Talk: David Morrison - SCGP 102)] TJ ET
BT 86.146 416.029 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 416.029 Td /F1 12.0 Tf [(Matrix factorizations in physics: a mathematical perspective )] TJ ET
BT 86.146 387.344 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 137.794 387.344 Td /F1 12.0 Tf [(Matrix factorizations were introduced into mathematics in 1980, and found their first )] TJ ET
BT 86.146 373.088 Td /F1 12.0 Tf [(applications to physics in 2003. I will explain the nature of these applications from a mathematical )] TJ ET
BT 86.146 358.717 Td /F1 12.0 Tf [(perspective. )] TJ ET
BT 36.266 315.032 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 86.146 315.032 Td /F2 12.0 Tf [(Kentaro Hori - SCGP 102)] TJ ET
BT 86.146 282.661 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 282.661 Td /F1 12.0 Tf [(An introduction to the hemisphere partition function )] TJ ET
BT 86.146 253.976 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 137.794 253.976 Td /F1 12.0 Tf [(I will talk about the hemisphere partition function of 2d \(2,2\) supersymmetric field )] TJ ET
BT 86.146 239.720 Td /F1 12.0 Tf [(theories and some of its applications, such as equivalences of categories, RG flow involving )] TJ ET
BT 86.146 225.349 Td /F1 12.0 Tf [(branes, and geometric/Landau-Ginzburg expansions. )] TJ ET
BT 36.266 181.664 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 86.146 181.664 Td /F2 12.0 Tf [(Tea - SCGP Lobby)] TJ ET
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BT 243.630 150.419 Td /F2 17.2 Tf [(Wednesday, June 14th)] TJ ET
BT 36.266 127.415 Td /F1 12.0 Tf [(9:00am)] TJ ET
BT 86.146 127.415 Td /F2 12.0 Tf [(Irena Peeva - SCGP 102)] TJ ET
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BT 86.146 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 732.214 Td /F1 12.0 Tf [(Matrix factorizations and free resolutions )] TJ ET
BT 86.146 703.529 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 137.794 703.529 Td /F1 12.0 Tf [(Matrix factorizations can be interprested as giving the minimal free resolutions of )] TJ ET
BT 86.146 689.273 Td /F1 12.0 Tf [(maximal Cohen-Macaulay modules \("high" syzygies\) over a hypersurface ring both as a module )] TJ ET
BT 86.146 675.017 Td /F1 12.0 Tf [(over the ambient ring and as a module over the hypersurface. The talk will first provide )] TJ ET
BT 86.146 660.761 Td /F1 12.0 Tf [(background on free resolutions, and then introduce the theory of higher matrix factorizations which )] TJ ET
BT 86.146 646.505 Td /F1 12.0 Tf [(gives the analogous results for high syzygies over complete intersections. All this is joint work )] TJ ET
BT 86.146 632.134 Td /F1 12.0 Tf [(with David Eisenbud, who will deliver a second part of the talk. )] TJ ET
BT 36.266 552.184 Td /F1 12.0 Tf [(10:15am)] TJ ET
BT 86.146 552.184 Td /F2 12.0 Tf [(David Eisenbud - SCGP 102)] TJ ET
BT 86.146 519.813 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 519.813 Td /F1 12.0 Tf [(Layered Resolutions )] TJ ET
BT 86.146 491.128 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 137.794 491.128 Td /F1 12.0 Tf [(Layered resolutions incldue the resolutions derived from higher matrix factorizations )] TJ ET
BT 86.146 476.872 Td /F1 12.0 Tf [(that were described in the preceding talk. They are not defined equationally, but they are )] TJ ET
BT 86.146 462.616 Td /F1 12.0 Tf [(conceptually simpler as well as being more general. I will explain the necessary background -- the )] TJ ET
BT 86.146 448.360 Td /F1 12.0 Tf [(Auslander-Buchweitz theory of Cohen-Macaulay approximations -- and also the construction of )] TJ ET
BT 86.146 433.989 Td /F1 12.0 Tf [(layered resolutions. This is joint work with Irena Peeva. )] TJ ET
BT 36.266 390.304 Td /F1 12.0 Tf [(11:15am)] TJ ET
BT 86.146 390.304 Td /F2 12.0 Tf [(Break - SCGP Cafe)] TJ ET
BT 36.266 367.048 Td /F1 12.0 Tf [(11:45am)] TJ ET
BT 86.146 367.048 Td /F2 12.0 Tf [(David Morrison - SCGP 102)] TJ ET
BT 86.146 334.677 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 334.677 Td /F1 12.0 Tf [(Matrix factorizations in physics: a mathematical perspective II )] TJ ET
BT 86.146 305.992 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 137.794 305.992 Td /F1 12.0 Tf [(Matrix factorizations were introduced into mathematics in 1980, and found their first )] TJ ET
BT 86.146 291.736 Td /F1 12.0 Tf [(applications to physics in 2003. I will explain the nature of these applications from a mathematical )] TJ ET
BT 86.146 277.365 Td /F1 12.0 Tf [(perspective. )] TJ ET
BT 36.266 233.680 Td /F1 12.0 Tf [(12:45pm)] TJ ET
BT 86.146 233.680 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 210.424 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 86.146 210.424 Td /F2 12.0 Tf [(Tea - SCGP Lobby)] TJ ET
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BT 250.332 179.178 Td /F2 17.2 Tf [(Thursday, June 15th)] TJ ET
BT 36.266 156.175 Td /F1 12.0 Tf [(9:00am)] TJ ET
BT 86.146 156.175 Td /F2 12.0 Tf [(Andres Collinucci - SCGP 102)] TJ ET
BT 86.146 123.804 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 123.804 Td /F1 12.0 Tf [(Monopole operators, going beyond the Auslander-Reiten quiver )] TJ ET
BT 36.266 80.119 Td /F1 12.0 Tf [(10:00am)] TJ ET
BT 86.146 80.119 Td /F2 12.0 Tf [(Break - SCGP Cafe)] TJ ET
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BT 36.266 702.064 Td /F1 12.0 Tf [(10:30am)] TJ ET
BT 86.146 702.064 Td /F2 12.0 Tf [(Hailong Dao - SCGP 102)] TJ ET
BT 86.146 669.693 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 669.693 Td /F1 12.0 Tf [(Some categorical aspects of matrix factorizations )] TJ ET
BT 86.146 641.008 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 137.794 641.008 Td /F1 12.0 Tf [(The category of matrix factorizations can be identified with certain category of maximal )] TJ ET
BT 86.146 626.752 Td /F1 12.0 Tf [(Cohen-Macaulay modules over the corresponding hypersurface \(or complete intersections, as in )] TJ ET
BT 86.146 612.496 Td /F1 12.0 Tf [(the recent work of Eisenbud-Peeva\). This point of view have been exploited heavily, and is still )] TJ ET
BT 86.146 598.240 Td /F1 12.0 Tf [(yielding surprising insights. In this talk I will survey some recent works in this direction. One part )] TJ ET
BT 86.146 583.984 Td /F1 12.0 Tf [(will focus on a certain pairing on the MCM modules which has interesting connections to K-theory )] TJ ET
BT 86.146 569.728 Td /F1 12.0 Tf [(and other cohomology theories. Another part will discuss Avramov-Buchweitz work on support )] TJ ET
BT 86.146 555.472 Td /F1 12.0 Tf [(varieties and a recent result that allows us to associate to certain tensor products of matrix )] TJ ET
BT 86.146 541.101 Td /F1 12.0 Tf [(factorization the geometric joint of the corresponding varieties. )] TJ ET
BT 36.266 497.416 Td /F1 12.0 Tf [(11:30am)] TJ ET
BT 86.146 497.416 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 474.160 Td /F1 12.0 Tf [(1:00pm)] TJ ET
BT 86.146 474.160 Td /F2 12.0 Tf [(David Morrison - SCGP 102)] TJ ET
BT 86.146 441.789 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 441.789 Td /F1 12.0 Tf [(Matrix factorizations in physics: a mathematical perspective III )] TJ ET
BT 86.146 413.104 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 137.794 413.104 Td /F1 12.0 Tf [( Matrix factorizations were introduced into mathematics in 1980, and found their first )] TJ ET
BT 86.146 398.848 Td /F1 12.0 Tf [(applications to physics in 2003. I will explain the nature of these applications from a mathematical )] TJ ET
BT 86.146 384.477 Td /F1 12.0 Tf [(perspective. )] TJ ET
BT 36.266 340.792 Td /F1 12.0 Tf [(2:15pm)] TJ ET
BT 86.146 340.792 Td /F2 12.0 Tf [(Johanna Knapp - SCGP 102)] TJ ET
BT 86.146 308.421 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 308.421 Td /F1 12.0 Tf [(Deformation theory of matrix factorizations and physics applications )] TJ ET
BT 36.266 264.736 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 86.146 264.736 Td /F2 12.0 Tf [(Tea - SCGP Lobby)] TJ ET
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BT 261.363 233.490 Td /F2 17.2 Tf [(Friday, June 16th)] TJ ET
BT 36.266 210.487 Td /F1 12.0 Tf [(9:00am)] TJ ET
BT 86.146 210.487 Td /F2 12.0 Tf [(David Favero - SCGP 102)] TJ ET
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BT 86.146 732.214 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 732.214 Td /F1 12.0 Tf [(Crepant Categorical Resolutions and a Toric Orlov Theorem )] TJ ET
BT 86.146 703.529 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 137.794 703.529 Td /F1 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 /F1 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 /F1 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 /F1 12.0 Tf [(way, categorically resolving singularities may have some nicer properties that classical resolutions. )] TJ ET
BT 86.146 646.505 Td /F1 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 /F1 12.0 Tf [(crepant resolutions can be given explicit geometric realizations as Landau-Ginzburg models. We )] TJ ET
BT 86.146 617.993 Td /F1 12.0 Tf [(will focus on some motivating examples such as Kuznetsov's categorical crepant resolution of the )] TJ ET
BT 86.146 603.622 Td /F1 12.0 Tf [(K3 category inside a singular cubic 4-fold. This is joint work with T. Kelly. )] TJ ET
BT 36.266 523.672 Td /F1 12.0 Tf [(10:15am)] TJ ET
BT 86.146 523.672 Td /F2 12.0 Tf [(Raffaele Savelli - SCGP 102)] TJ ET
BT 86.146 491.301 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 491.301 Td /F1 12.0 Tf [(F-theory on Singular Spaces )] TJ ET
BT 86.146 462.616 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 137.794 462.616 Td /F1 12.0 Tf [(F-theory is a strong coupling formulation of Type IIB string theory which unifies )] TJ ET
BT 86.146 448.360 Td /F1 12.0 Tf [(gravitational and gauge theory data of 7-branes in the geometry of elliptic fibrations. In all )] TJ ET
BT 86.146 434.104 Td /F1 12.0 Tf [(situations of interest such fibrations are singular spaces, and, in order to describe the low-energy )] TJ ET
BT 86.146 419.848 Td /F1 12.0 Tf [(physics, one typically removes the singularities either via resolutions or deformations. On the )] TJ ET
BT 86.146 405.592 Td /F1 12.0 Tf [(contrary, in this talk, I will show how Matrix Factorizations allow us to access part of the physical )] TJ ET
BT 86.146 391.336 Td /F1 12.0 Tf [(data while working on the singular spaces directly. Besides correctly reproducing known results, )] TJ ET
BT 86.146 377.080 Td /F1 12.0 Tf [(this treatment enables us to explore certain supersymmetric string vacua which are invisible in the )] TJ ET
BT 86.146 362.709 Td /F1 12.0 Tf [(smooth phase. )] TJ ET
BT 36.266 319.024 Td /F1 12.0 Tf [(11:15am)] TJ ET
BT 86.146 319.024 Td /F2 12.0 Tf [(Break - SCGP Cafe)] TJ ET
BT 36.266 295.768 Td /F1 12.0 Tf [(11:45am)] TJ ET
BT 86.146 295.768 Td /F2 12.0 Tf [(Ragnar Buchweitz - SCGP 102)] TJ ET
BT 86.146 263.397 Td /F2 12.0 Tf [(Title: )] TJ ET
BT 117.142 263.397 Td /F1 12.0 Tf [(Matrix Factorizations and Tilting Objects )] TJ ET
BT 86.146 234.712 Td /F2 12.0 Tf [(Abstract: )] TJ ET
BT 137.794 234.712 Td /F1 12.0 Tf [(Whenever a triangulated category admits a tilting object T, it identifies with the derived )] TJ ET
BT 86.146 220.456 Td /F1 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 86.146 206.200 Td /F1 12.0 Tf [(describe an algorithm for the case that E is an artinian algebra of finite global dimension. As an )] TJ ET
BT 86.146 191.944 Td /F1 12.0 Tf [(example, we use this to identify all matrix factorizations of y^d - x^d for d ≥ 2, thus, answering )] TJ ET
BT 86.146 177.688 Td /F1 12.0 Tf [(a question raised several years ago by physicists. We will aa well discuss the case of cubic )] TJ ET
BT 86.146 163.317 Td /F1 12.0 Tf [(hepersurfaces, where some intriguing representation theoretic problems occur. )] TJ ET
BT 36.266 119.632 Td /F1 12.0 Tf [(12:45pm)] TJ ET
BT 86.146 119.632 Td /F2 12.0 Tf [(Lunch - SCGP Cafe)] TJ ET
BT 36.266 96.376 Td /F1 12.0 Tf [(3:30pm)] TJ ET
BT 86.146 96.376 Td /F2 12.0 Tf [(Tea - SCGP Comm Room 515)] TJ ET
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