RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 Forthcoming seminars Seminar calendar List of seminars Archive by years Register a seminar Search RSS Forthcoming seminars

You may need the following programs to see the files

Iskovskikh Seminar
April 5, 2018 14:00, Moscow, Steklov Mathematical Institute, room 540

On smooth categorical compactifications and non-commutative Hodge theory

A. I. Efimov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: In this talk we disprove two conjectures of Kontsevich which state generalized versions of categorical Hodge-to-de Rham degeneration for smooth and for proper DG categories (but not smooth and proper, in which case degeneration is proved by Kaledin). In particular, we show that there exists a minimal 8-dimensional $A_{\infty}$-algebra, for which the supertrace of $m_3$ on the second argument is non-zero.