Difference between revisions of "Algebra and Algebraic Geometry Seminar Spring 2018"

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==Algebraic Geometry and Algebra Mailing List==
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==Algebra and Algebraic Geometry Mailing List==
  
  

Revision as of 10:01, 24 January 2018

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

Here is the schedule for the previous semester.

Algebra and 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) Derived Azumaya Algebras and Twisted K-theory Michael
February 2 Daniel Erman (Wisconsin) TBA Local
February 9 Juliette Bruce (Wisconsin) TBA Local
February 23 Aron Heleodoro (Northwestern) TBA Dima
April 6 Phil Tosteson (Michigan) TBA Steven
April 13 Reserved Daniel
April 20 Alena Pirutka (NYU) TBA Jordan
April 27 Alexander Yom Din (Caltech) TBA Dima
May 4 John Lesieutre (UIC) TBA Daniel

Abstracts

Tasos Moulinos

Derived Azumaya Algebras and Twisted K-theory

Topological K-theory of dg-categories is a localizing invariant of dg-categories over  \mathbb{C} taking values in the  \infty -category of  KU -modules. In this talk I describe a relative version of this construction; namely for X a quasi-compact, quasi-separated  \mathbb{C} -scheme I construct a functor valued in the  \infty -category of sheaves of spectra on  X(\mathbb{C}) , the complex points of X. For inputs of the form \operatorname{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(\mathbb{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.

Aron Heleodoro

TBA

Alexander Yom Din

TBA