Determinants and deformation theory of perfect complexes

Abstract: In this talk I will discuss the interplay between the deformation theory of perfect complexes, determinants, and traces. I will discuss, in particular, the verification of an expected compatibility among these that has been used in various places in the literature. For the speaker this project also provided an entry-point to the world of $\infty$-categories, and I will try to motivate why such a perspective is useful. This is joint work with Max Lieblich.

algebraic geometry

Audience: researchers in the topic

( chat )

Comments: The discussion for Martin Olsson’s talk is taking place not in zoom-chat, but at tinyurl.com/2020-08-28-mo (and will be deleted after 3-7 days).

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Stanford algebraic geometry seminar

Series comments: This seminar requires both advance registration, and a password. If you have registered once, you are always registered. Register at stanford.zoom.us/meeting/register/tJEvcOuprz8vHtbL2_TTgZzr-_UhGvnr1EGv Password: 362880

More seminar information (including slides and videos, when available): agstanford.com

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