Event Calendar for Mathematics

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<< PrevNovember 23, 2009 - November 30, 2009Next >>
Mon 11/23
Formal deformations and the algebraic index theorem (Seminars)
Alexander Gorokhovsky (University of Colorado)
Start: 3:30 pm
End: 5:00 pm
Location: MA 240
MA 240

These lectures do not assume previous knowledge of the subject, and will be accessible to a diverse audience of graduate students. The specific topics to be addressed are the following:

Generalities on the deformation theory of associative algebras (Hochschild complex, statement of Kontsevich's formality theorem)

Deformations of functions on symplectic manifolds (Fedosov quantization)

Cyclic cohomology

Lie algebra cohomology and Gelfand-Fuchs construction

The algebraic index theorem of Nest and Tsygan

Relation to the Atiyah-Singer index theorem



more info
Invitation to L-functions (Invitation to Research)
James Cogdell (OSU)
Start: 4:30 pm
End: 5:30 pm
Location: CH 240
CH 240

Continuation of Last Week's Lecture



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Tue 11/24
Christoffel Functions (Real and Complex Analysis Seminar)
Paul Nevai (OSU)
Start: 2:30 pm
End: 3:20 pm
Location: MW154
MW154
I will recall the background and some of the motivations how and
why I ended up studying Christoffel functions, and I will describe some of
the highlights of process.


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TBA (Topology Seminar)
Jim Fowler (Ohio State)
Start: 3:30 pm
End: 4:30 pm
Location: CH 240
CH 240

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Some Recent Progress on Maximal Rank Problems (Algebraic Geometry Seminar)
Jie Wang (Ohio State University)
Start: 4:30 pm
End: 5:30 pm
Location: Scott Lab N050
Scott Lab N050
A central problem in curve theory is to describe the extrinsic geometry of a curve C in P^r with fixed genus and degree. The Maximal Rank Conjecture predicts that for a general curve C in P^r, there should be "correct number" of independent hypersurfaces of degree k containing it. In this talk, I will describe the deformation theory of the space of quadrics containing C_t, as C_t moves in a one parameter family. For some special cases, we will show that even if C_0 has too many quardics containing it, we can deform to C_t such that C_t is contained in "correct number" of quadrics.

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Complex Monge-Ampere Equations and Totally Real Submanifolds (Partial Differential Equations Seminar)
Qun Li (Wright State University)
Start: 4:30 pm
End: 5:30 pm
Location: EA265
EA265
We will study the complex Monge-Ampere equations related to problems in complex geometry. As an application, we will also discuss a homogeneous complex Monge-Ampere equation whose solution characterizes a totally real submanifold. This is a joint work with Bo Guan.

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Wed 11/25
Formal deformations and the algebraic index theorem (Seminars)
Alexander Gorokhovsky (University of Colorado)
Start: 3:30 pm
End: 5:00 pm
Location: MA 240
MA 240

These lectures do not assume previous knowledge of the subject, and will be accessible to a diverse audience of graduate students. The specific topics to be addressed are the following:

Generalities on the deformation theory of associative algebras (Hochschild complex, statement of Kontsevich's formality theorem)

Deformations of functions on symplectic manifolds (Fedosov quantization)

Cyclic cohomology

Lie algebra cohomology and Gelfand-Fuchs construction

The algebraic index theorem of Nest and Tsygan

Relation to the Atiyah-Singer index theorem



more info
Thu 11/26
Fri 11/27
Sat 11/28
Sun 11/29
Mon 11/30
The Carlitz module and units for function fields (Number Theory Seminar)
Lenny Taelman (University of Leiden)
Start: 4:30 pm
End: 5:30 pm
Location: MW 154
MW 154
This talk will be about the analogy between the multiplicative group over number fields and the Carlitz module over function fields. I will illustrate this analogy using both old (mostly due to Carlitz) and new results. The latter concern an analogue of Dirichlet's unit theorem, and a conjectural analogue of the class number formula. (see http://arxiv.org/abs/0910.3142).




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