# Difference between revisions of "Algebraic Geometry Seminar Spring 2018"

The seminar meets on Fridays at 2:25 pm in room B113.

Here is the schedule for the previous semester.

## Algebraic Geometry Mailing List

• Please join the AGS Mailing List to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).

## Spring 2018 Schedule

date speaker title host(s)
January 26 Tasos Moulinos (UIC) TBA Michael
February 23 Aron Heleodoro (Northwestern) TBA Dima
March 9 Phil Tosteson (Michigan) TBA Steven
April 20 Alena Pirutka (NYU) TBA Jordan
April 27 Alexander Yom Din (Caltech) TBA Dima

## Abstracts

### Tasos Moulinos

Derived Azumaya Algebrais and Twisted K-theory

Topological K-theory of dg-categories is a localizing invariant of dg-categories over $\displaystyle{ \mathbb{C} }$ taking values in the infinity category of KU-modules. In this talk I describe a relative version of this construction; namely for X a quasi-compact, quasi-separated C-scheme I construct a functor valued in the infinity category of sheaves of spectra on X(C), the complex points of X. For inputs of the form Perf(X, A) where A is an Azumaya algebra over X, I characterize the values of this functor in terms of the twisted topological K-theory of X(C). From this I deduce a certain decomposition, for X a finite CW-complex equipped with a bundle P of projective spaces over X, of KU(P) in terms of the twisted topological K-theory of X ; this is a topological analogue of a result of Quillen’s on the algebraic K-theory of Severi-Brauer schemes.

TBA

TBA