Algebraic Geometry and Algebra Seminar Spring 2018: Difference between revisions

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


Here is the schedule for [[Algebraic Geometry Seminar Spring 2017 | the previous semester]].
<!--, [[Algebraic Geometry Seminar Spring 2018 | the next semester]], and for [[Algebraic Geometry Seminar | this semester]]. -->
==Algebraic Geometry and Algebra Mailing List==
*Please join the [https://admin.lists.wisc.edu/index.php?p=11&l=ags 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 ==
{| cellpadding="8"
!align="left" | date
!align="left" | speaker
!align="left" | title
!align="left" | host(s)
|-
|January 26
|[http://homepages.math.uic.edu/~tmoulinos/ Tasos Moulinos (UIC)]
|[[#Tasos Moulinos|Derived Azumaya Algebras and Twisted K-theory]]
|Michael
|-
|February 2
|Daniel Erman (Wisconsin)
|[[#Daniel Erman|TBA]]
|Local
|-
|February 9
|Juliette Bruce (Wisconsin)
|[[#Juliette Bruce|TBA]]
|Local
|-
|February 23
|Aron Heleodoro (Northwestern)
|[[#Aron Heleodoro|TBA]]
|Dima
|-
|April 6
|[http://www-personal.umich.edu/~ptoste/ Phil Tosteson (Michigan)]
|[[#Phil Tosteson|TBA]]
|Steven
|-
|-
|April 13
|Reserved
|
|Daniel
|-
|April 20
|Alena Pirutka (NYU)
|[[#Alena Pirutka|TBA]]
|Jordan
|-
|April 27
|Alexander Yom Din (Caltech)
|[[#Alexander Yom Din|TBA]]
|Dima
|-
|May 4
|John Lesieutre (UIC)
|[[#John Lesieutre|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 <math> \mathbb{C} </math>
taking values in the <math> \infty </math>-category of  <math> KU </math>-modules. In this talk I describe a relative version
of this construction; namely for <math>X</math> a quasi-compact, quasi-separated <math> \mathbb{C} </math>-scheme I construct a
functor valued in the <math> \infty </math>-category of sheaves of spectra on <math> X(\mathbb{C}) </math>, the complex points of <math>X</math>. For inputs
of the form <math>\operatorname{Perf}(X, A)</math> where <math>A</math> is an Azumaya algebra over <math>X</math>, I characterize the values
of this functor in terms of the twisted topological K-theory of <math> X(\mathbb{C}) </math>. From this I deduce
a certain decomposition, for <math> X </math> a finite CW-complex equipped with a bundle <math> P </math> of projective
spaces over <math> X </math>, of <math> KU(P) </math> in terms of the twisted topological K-theory of <math> X </math> ; 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'''

Latest revision as of 16:01, 24 January 2018

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