Department of

# Mathematics

Seminar Calendar
for events the day of Thursday, March 2, 2006.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    February 2006            March 2006             April 2006
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1  2  3  4             1  2  3  4                      1
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Thursday, March 2, 2006

11:00 am in 241 Altgeld Hall,Thursday, March 2, 2006

#### Orbifolds as localized groupoids

###### Eugene Lerman (UIUC Math )

1:00 pm in 241 Altgeld Hall,Thursday, March 2, 2006

#### A search for elegant polynomials

###### Ken Stolarsky (UIUC)

Abstract: Classical orthogonal polynomials have simple definitions, regular distributions of zeros, and coefficients and discriminants that are arithmetically simple. We investigate to what extent there are other types of polynomials of number theoretic significance that have these properties.

1:00 pm in 347 Altgeld Hall,Thursday, March 2, 2006

#### The Maier-Schmid Problem

###### Derek Robinson (UIUC)

Abstract: The Maier-Schmidt Theorem asserts that a core-free permutable subgroup of a finite group is contained in the hypercenter. We will give a proof of this theorem and describe recent progress on the problem of determining to what extent it holds for infinite groups.

2:00 pm in 243 Altgeld Hall,Thursday, March 2, 2006

#### Uniform domains and related conditions

###### Stephen Buckley (National University of Ireland, Maynooth (visiting University of Cincinnati))

Abstract: We compare uniform domains and capacity conditions of QED and Loewner type. Weaker geometric conditions such as the Gromov hyperbolicity of the quasihyperbolic metric also play a part in this comparison. This is joint work with David Herron.

2:00 pm in 443 Altgeld Hall,Thursday, March 2, 2006

#### An Introduction to Equivariant Cohomology

###### Daniel Zaharopol (UIUC Math)

Abstract: I will provide a brief introduction to equivariant cohomology, based on the development in Guillemin and Sternberg's Supersymmetry and Equivariant de Rham Theory. Roughly speaking, equivariant cohomology allows one to consider the cohomology of a space relative to a group action (for us, a compact Lie group), even when that action is not free. Some comfort with differential forms and de Rham cohomology will be the only prerequisite.

2:00 pm in 241 Altgeld Hall,Thursday, March 2, 2006

#### Elliptic Curves with Complex Multiplication

###### Jennifer Paulhus (UIUC Math)

Abstract: (RAP Elliptic Curves and Iwasawa Theory, Part 5). This week: The Main Theorem for Elliptic Curves with CM, the Hasse-Weil L-series of an elliptic curve over a number field, relation with the Hecke L-series defined with a Grössencharacter for CM elliptic curves.

3:00 pm in 243 Altgeld Hall,Thursday, March 2, 2006

#### On The Upper Semi-Continuity of Hilbert-Kunz Multiplicity, cont.

###### Jinjia Li   [email] (UIUC Math)

Abstract: I will discuss a recent paper by Enescu and Shimomoto on the upper semi-continuity of the Hilbert-Kunz multiplicity. I will begin with a introduction/overview of the Hilbert-Kunz multiplicity. This talk only assumes minimum background in commutative algebra (e.g. MATH 502).

4:00 pm in 245 Altgeld Hall,Thursday, March 2, 2006

#### Ends of metric measure spaces and Sobolev inequalities

###### Stephen Buckley (National University of Ireland at Maynooth)

Abstract: We prove sharp volume growth/decay estimates for ends of metric measure spaces that support a Sobolev inequality. This is joint work with Pekka Koskela.