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Program (226 Kb)
Courses:S. Barannikov. Lecture 1: Invariants of Morse complexes, persistent homology and their applications;
Lecture 2: Derived deformation theory, extended moduli spaces and solutions to WDVV equations;
Lecture 3: Introduction to semi-infinite Hodge structures.C. Brav. Derived deformation theory in non-commutative algebraic geometry. B. Kim. Gromov-Witten Theory and GLSM. D. Osipov. Arithmetic of algebraic curves. I. Taimanov. Introduction to Integrable Surfaces.
Short talks:S. Abramyan. Higher Whitehead products in moment-angle complexes and substitution of simplicial complexes. G. Chernykh. SU-bordism and the ring of c_1-spheric bordism. V. Kulikov. Hypergeometric series and Mellin-Barnes integrals for zeros of the system of Laurent polynomials. I. Levin. Isomorphism of Nakajima and Slodowy varieties. K. Loginov. Semistable degenerations of Fano varieties. G. Papayanov. Reconstruction of a Lie algebra from its universal enveloping. D. Tyurin. Milnor K-groups and Kahler differentials. E. Zhuravleva. Higher Whitehead products and L-infinity structures in toric topology .
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