清华主页 EN
导航菜单

几何表示论讨论班:隆德大学 Gustavo Jasso主讲

来源: 10-05

时间: Fri. 16:00-17:00, Oct.7, 2022

地点:Ning Zhai, W11 Zoom ID: 276 366 7254;PW: YMSC

组织者:Will Donovan, Penghui Li, Peng Shan, Changjian Su

主讲人:Gustavo Jasso (Lunds universitet)

The DonovaThe Donovan-Wemyss Conjecture via the Derived Auslander-Iyama Correspondence


Abstract

The Donovan-Wemyss Conjecture predicts that the isomorphism type of an isolated compound Du Val singularity R that admits a crepant resolution is completely determined by the derived-equivalence class of any of its contraction algebras. Crucial results of August and Hua-Keller reduced the conjecture to the question of whether the singularity category of R admits a unique DG enhancement. I will explain, based on an observation by Bernhard Keller, how the conjecture follows from a recent theorem of Fernando Muro and myself that we call the Derived Auslander-Iyama Correspondence.


Speaker

Gustavo Jasso is a Senior Lecturer in Mathematics at Lund University. He obtained his PhD from Nagoya University in 2014 under the supervision of Osamu Iyama and received the ICRA award in 2018. His research interest include representation theory of quivers and algebras, homological algebra and applications of higher category theory to these and related subjects.

Web page:

https://gustavo.jasso.info


返回顶部
相关文章
  • 几何表示论讨论班:波士顿大学Siu-Cheong Lau主讲

    AbstractQuiver representation emerges from Lie theory and mathematical physics. Its simplicity and beautiful theory have attracted a lot of mathematicians and physicists. In this talk, I will explain localizations of a quiver algebra, and the relations with SYZ and noncommutative mirror symmetry. I will also explore the applications of quivers to computational models in machine learning.Speaker...

  • 几何表示论讨论班:耶鲁大学助理教授Pablo Boixeda Alvarez主讲

    Abstract The resolutions of Slodowy slices $\widetilde{\mathcal{S}}_e$ are symplectic varieties that contain the Springer fiber $(G/B)_e$ as a Lagrangian subvariety.In joint work with R. Bezrukavnikov, M. McBreen and Z. Yun, we construct analogues of these spaces for homogeneous affine Springer fibers. We further understand the categories of microlocal sheaves in these symplectic spaces support...