Seminars
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
Calendar
Search
Add a seminar

RSS
Forthcoming seminars




Shafarevich Seminar
April 21, 2020 15:00, Moscow, online
 


Tate-Hochschild cohomology, the singularity category and applications

B. Keller
Video records:
MP4 1,059.3 Mb
Supplementary materials:
Adobe PDF 10.7 Mb

Number of views:
This page:534
Video files:118
Materials:76
Youtube:

B. Keller



Abstract: Following work of Buchweitz, one defines Tate-Hochschild cohomology of an algebra A to be the Yoneda algebra of the identity bimodule in the singularity category of bimodules. We show *if the bounded derived category of A is smooth* (hypothesis added on 03/06/2020) then Tate-Hochschild cohomology is canonically isomorphic to the ordinary Hochschild cohomology of the singularity category of A (with its canonical dg enrichment). In joint work with Zheng Hua, we apply this to prove a weakened version of a conjecture by Donovan-Wemyss which states that a complete local isolated compound Du Val singularity is determined by the derived equivalence class of the contraction algebra associated with a smooth model.

Supplementary materials: slides.pdf (10.7 Mb)

Language: English
 
  Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024