# Mathematical Sciences Research Institute

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1. # MSRI Evans Talk: Finite dimensional Banach Spaces

Location: 60 Evans Hall, UC Berkeley
Speakers: Pierre Colmez (Institut de Mathématiques de Jussieu)

The algebraic closure of the field ${\bf Q}_p$ of $p$-adic number is infinite dimensional over ${\bf Q}_p$, hence its completion ${\bf C}_p$ is also infinite dimensional.  I will describe objects that can be thought of as finite dimensional vector spaces over ${\bf C}_p$ up to finite dimensional ${\bf Q}_p$-vector spaces and explain what kind of properties they have. I will end up with some recent applications.

Updated on Nov 24, 2014 10:00 AM PST
2. # Number Theory Seminar: Wild ramification and K(π; 1) spaces

Location: 740 Evans Hall

Speaker: Piotr Achinger

A smooth variety in characteristic zero is Zariski-locally a K(π; 1) space, i.e., has trivial higher homotopy groups. This fact is of crucial importance in Artin’s proof that l-adic cohomology agrees with singular cohomology over C. The characteristic p variant of this is not known—we do not even know whether the affine plane is a K(π; 1) in positive characteristic! I will show how to reduce this question to a “Bertini-type” statement regarding wild ramification of l-adic local systems on affine spaces, which might be of independent interest. I will verify this statement in the special case of local systems of rank 1 and speculate on how one might treat the general case.

Updated on Nov 25, 2014 09:48 AM PST
3. # Colloquium

Location: MSRI: Simons Auditorium
Created on Sep 02, 2014 12:56 PM PDT
4. # Working Group on Irregular Singularities

Location: MSRI: Baker Board Room
Created on Sep 22, 2014 03:16 PM PDT
5. # Joint Seminar

Location: MSRI: Simons Auditorium
Created on Sep 03, 2014 10:27 AM PDT
6. # Eisenbud Seminar: Commutative Algebra and Algebraic Geometry

Location: 939 Evans Hall
Created on Sep 03, 2014 10:31 AM PDT
7. # Working Group on "Modular sheaves and modular representations"

Location: MSRI: Simons Auditorium
Created on Sep 12, 2014 02:10 PM PDT
8. # Working group on “Geometric Aspects of representations of p-adic groups”

Location: MSRI: Simons Auditorium
Updated on Oct 21, 2014 03:29 PM PDT
9. # GRT Research Seminar

Location: MSRI: Simons Auditorium
Created on Sep 03, 2014 12:39 PM PDT
10. # Number Theory Seminar

Location: 740 Evans Hall
Created on Sep 12, 2014 01:33 PM PDT
11. # NGM Research Seminar

Location: MSRI: Simons Auditorium
Updated on Oct 01, 2014 12:07 PM PDT
12. # NGM Research Seminar

Location: MSRI: Simons Auditorium
Updated on Oct 01, 2014 12:07 PM PDT
13. # GRT Pizza Seminar

Location: MSRI: Simons Auditorium
Updated on Sep 03, 2014 04:22 PM PDT

Location: MSRI: Simons Auditorium
Updated on Oct 10, 2014 04:43 PM PDT
15. # Colloquium

Location: MSRI: Simons Auditorium
Created on Sep 02, 2014 12:58 PM PDT
16. # Working Group on Irregular Singularities

Location: MSRI: Baker Board Room
Created on Sep 22, 2014 03:17 PM PDT
17. # Eisenbud Seminar: Commutative Algebra and Algebraic Geometry

Location: 939 Evans Hall
Created on Sep 03, 2014 10:52 AM PDT
18. # Working Group on "Modular sheaves and modular representations"

Location: MSRI: Simons Auditorium
Created on Sep 12, 2014 02:11 PM PDT
19. # GRT Research Seminar

Location: MSRI: Simons Auditorium
Created on Sep 03, 2014 12:46 PM PDT
20. # Number Theory Seminar

Location: 740 Evans Hall
Created on Sep 12, 2014 01:34 PM PDT