Difference between revisions of "Algebraic Geometry Seminar Spring 2018"

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The seminar meets on Fridays at 2:25 pm in room B113.
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We changed the name. Here is the [https://www.math.wisc.edu/wiki/index.php/Algebra_and_Algebraic_Geometry_Seminar_Spring_2018 new seminar page].
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Here is the schedule for [[Algebraic Geometry Seminar Spring 2017 | the previous semester]].
 
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<!--, [[Algebraic Geometry Seminar Spring 2018 | the next semester]], and for [[Algebraic Geometry Seminar | this semester]]. -->
 
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==Algebraic Geometry Mailing List==
 
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*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).
 
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== Spring 2018 Schedule ==
 
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{| cellpadding="8"
 
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!align="left" | date
 
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!align="left" | speaker
 
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!align="left" | title
 
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!align="left" | host(s)
 
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|-
 
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|January 26
 
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|[http://homepages.math.uic.edu/~tmoulinos/ Tasos Moulinos (UIC)]
 
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|[[#Tasos Moulinos|Derived Azumaya Algebras and Twisted K-theory]]
 
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|Michael
 
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|-
 
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|February 2
 
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|Daniel Erman (Wisconsin)
 
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|[[#Daniel Erman|TBA]]
 
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|Local
 
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|-
 
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|February 9
 
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|Juliette Bruce (Wisconsin)
 
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|[[#Juliette Bruce|TBA]]
 
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|Local
 
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|-
 
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|February 23
 
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|Aron Heleodoro (Northwestern)
 
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|[[#Aron Heleodoro|TBA]]
 
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|Dima
 
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|-
 
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|April 6
 
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|[http://www-personal.umich.edu/~ptoste/ Phil Tosteson (Michigan)]
 
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|[[#Phil Tosteson|TBA]]
 
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|Steven
 
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|-
 
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|April 13
 
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|Reserved
 
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|
 
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|Daniel
 
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|-
 
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|April 20
 
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|Alena Pirutka (NYU)
 
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|[[#Alena Pirutka|TBA]]
 
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|Jordan
 
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|April 27
 
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|Alexander Yom Din (Caltech)
 
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|[[#Alexander Yom Din|TBA]]
 
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|Dima
 
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|May 4
 
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|John Lesieutre (UIC)
 
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|[[#John Lesieutre|TBA]]
 
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|Daniel
 
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|}
 
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== Abstracts ==
 
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===Tasos Moulinos===
 
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'''Derived Azumaya Algebras and Twisted K-theory'''
 
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Topological K-theory of dg-categories is a localizing invariant of dg-categories over <math> \mathbb{C} </math>
 
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taking values in the <math> \infty </math>-category of  <math> KU </math>-modules. In this talk I describe a relative version
 
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of this construction; namely for <math>X</math> a quasi-compact, quasi-separated <math> \mathbb{C} </math>-scheme I construct a
 
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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
 
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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
 
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of this functor in terms of the twisted topological K-theory of <math> X(\mathbb{C}) </math>. From this I deduce
 
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a certain decomposition, for <math> X </math> a finite CW-complex equipped with a bundle <math> P </math> of projective
 
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spaces over <math> X </math>, of <math> KU(P) </math> in terms of the twisted topological K-theory of <math> X </math> ; this is
 
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a topological analogue of a result of Quillen’s on the algebraic K-theory of Severi-Brauer
 
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schemes.
 
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===Aron Heleodoro===
 
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'''TBA'''
 
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===Alexander Yom Din===
 
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'''TBA'''
 

Latest revision as of 11:02, 24 January 2018

We changed the name. Here is the new seminar page.

Retrieved from "https://wiki.math.wisc.edu/index.php?title=Algebraic_Geometry_Seminar_Spring_2018&oldid=14832"