Algebraic Geometry Seminar Spring 2018: Difference between revisions
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== Abstracts == | == Abstracts == | ||
===Tasos Moulinos=== | |||
'''Derived Azumaya Algebrais and Twisted K-theory''' | |||
Topological K-theory of dg-categories is a localizing invariant of dg-categories over the complex numbers | |||
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. | |||
===Aron Heleodoro=== | ===Aron Heleodoro=== | ||
Revision as of 12:49, 17 January 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
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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 the complex numbers 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.
Aron Heleodoro
TBA
Alexander Yom Din
TBA