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Homological Algebra of the Infrared
报告人：Mikhail Kapranov,
摘要：A part of the Algebra of the Infrared can be interpreted as a categorification of the study of the Fourier transform for perverse sheaves (or holonomic regular D-modules) on the complex line C. The talk will summarize this approach, developed in an earlie
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地点：TSIMF-Room A-211
报告人：Alexey Bondal,
摘要：We discuss the relation of the null-category of noncommutative resolutions with relative singularity categories and application to relevant schobers.
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地点：TSIMF-Room A-211
报告人：Timothy Logvinenko,
摘要： The braid group Brn encodes configurations of n non-touching vertical strands (“braids”) up to continuous transformations. There are many examples where Brn acts on the derived category of an algebraic variety: the minimal resolutions of Kleinian singula
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地点：TSIMF-Room A-211
报告人：Ludmil Katzarkov,
摘要：In this talk we will offer new birational invariants connected with Non commutative Hodge structures. Examples will be considered.
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地点：TSIMF-Room A-211
报告人：David Nadler,
摘要： I will take the opportunity to describe some arguments appearing in joint work with Penghui Li and Zhiwei Yun on the cocenter of the affine Hecke category. We use some elementary aspects of Morse theory for sheaves of categories on a manifold. I will des
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地点：TSIMF-Room A-211
报告人：Sibasish Banerjee, IHES
摘要： I will describe the framework of Exponential Networks for computing the BPS spectrum of M-theory on a local Calabi-Yau threefold times R4×S1. Exponential networks define the counting of special Lagrangians in the mirror Calabi-Yau threefold. Therefor
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地点：TSIMF-Room A-211
报告人：Pietro Longhi,
摘要：The framework of spectral networks was introduced in physics as a way to compute BPS states of 4d N=2 gauge theories.
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地点：TSIMF-Room A-211
报告人：Gregory Moore,
摘要： For details, please refer to http://www.physics.rutgers.edu/~gmoore/SoibelmanSeminar-September22-2021.pdf
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地点：TSIMF-Room A-211
报告人：Jie Gu,
摘要： Quantum periods appear in many contexts, from quantum mechanics to local mirror symmetry. They can be described in terms of topological string free energies and Wilson loops, in the so-called Nekrasov–Shatashvili limit. We consider the trans-series exten
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地点：TSIMF-Room A-211
报告人：Johannes Walcher ,
摘要：Previous work has given proof and evidence that BPS states in local Calabi-Yau 3-folds can be described and counted by exponential networks on the mirror curve. The depictive representation is appealing for its elementarity, but so far only a handful of e
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地点：TSIMF-Room A-211
报告人：Maxim Kontsevich ,
摘要：With a non-singular complex variety Y together with a holomorphic function W one can associate a sheaf of differential graded Lie algebras on Y consisting of polyvector fields with the differential given by the commutator with W. The formal germ of the de
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地点：TSIMF-Room A-211
报告人：Ahsan Khan,
摘要：The algebra of the infrared is a remarkable structure that describes certain aspects of massive two-dimensional N=(2,2) theories. It is interesting to consider whether similar structures may exist in other physical contexts. In this talk, I will present t
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地点：TSIMF-Room A-211
报告人：Yan Soibelman,
摘要：The algebra of the infrared gives rise to a categorification of the Picard-Lefschetz wall-crossing formulas. Same wall-crossing formulas control the behavior of finite-dimensional exponential integrals. More general notion of wall-crossing structure was i
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地点：TSIMF-Room A-211
报告人：Vadim Schechtman,
摘要：We will be discussing some analogies between vanishing cycles and normalized chains appearing in the Dold - Kan correspondence between simplicial objects and chain complexes in an abelian category.
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地点：TSIMF-Room A-211
报告人：Lev Soukhanov ,
摘要：I will talk about the occurrence of the Algebra of the Infrared structure in the different geometric setting: the solutions of a pair of commuting gradient vector fields
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地点：TSIMF-Room A-211
报告人：Si Li ,
摘要：We present an effective quantization theory for chiral deformation of two-dimensional conformal field theories. We explain a connection between the quantum master equation and the chiral homology for vertex operator algebras. As an application, we constru
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地点：TSIMF-Room A-211
报告人：Bohan Fang,
摘要：For the mirror curve of a toric Calabi-Yau 3-orbifold, one can assign a Fukaya-type category. This category is modeled on the category of constructible sheaves on the 1-dim Lagrangian core of the mirror curve. They form a cosheaf and also have some sheaf
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地点：TSIMF-Room A-211
报告人：Andrey Losev ,
摘要：It is well-known how effective WDVV equations are in counting rational curves in complex manifolds.The complex dimension 2 analogue of rational curves are toric surfaces. So, is it possible to get dim 2 version of WDVV? In the first part of my talk I wo
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地点：TSIMF-Room A-211
报告人：Yu-Wei Fan,
摘要：The Nielsen-Thurston classification states that any mapping class of a Riemann surface is either of finite order, reducible, or pseudo-Anosov. Motivated by the analogy between Teichmuller theory and the theory of stability conditions on triangulated cat
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地点：TSIMF-Room A-211
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