Homological comparison of resolution and smoothing
Organizers
Speaker
Time
Thursday, October 17, 2024 2:00 PM - 4:00 PM
Venue
A3-2a-302
Online
Zoom 482 240 1589
(BIMSA)
Abstract
A singular space may be equipped with (1) a resolution, given by a morphism from a smooth space, and (2) a smoothing, namely a deformation with smooth generic fibre. I will introduce my recent work (arXiv:2409.19555) on how these may be related homologically for singularities in algebraic geometry.
Speaker Intro
Will Donovan joined Yau MSC, Tsinghua U in 2018. Since 2021 he is an Associate Professor, and Adjunct Associate Professor at BIMSA. His focus is geometry, in particular applying ideas from physics and noncommutative algebra to study varieties, using tools of homological algebra and category theory. He studied at Cambridge U, completed his PhD at Imperial College London, and was postdoctoral researcher at Edinburgh U, UK. From 2014-18 he was research fellow at Kavli IPMU, U Tokyo, where he is now Visiting Associate Scientist. His work is published in journals including Communications in Mathematical Physics and Duke Mathematical Journal. He is supported by China Thousand Talents Plan, and received a Japan Society for Promotion of Science Young Scientist grant award.