Department of

Mathematics

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

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
     January 2006          February 2006            March 2006
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2  3  4  5  6  7             1  2  3  4             1  2  3  4
8  9 10 11 12 13 14    5  6  7  8  9 10 11    5  6  7  8  9 10 11
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Thursday, February 2, 2006

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

Uniform convergence groups and the mapping class group.

Chris Leininger (UIUC Math)

Abstract: Abstract: I'll discuss both positive an negative results relating the notion of uniform convergence group to that of convex cocompactness in the mapping class group. This is joint work with Richard Kent.

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

Weighted Trigonometric Sums Over a Half-Period

O -Yeat Chan (UIUC)

Abstract: Let $f(z)$ be a quotient of trigonometric functions. Suppose $f(z)$ has period $k$, an odd integer. We use a contour integral to evaluate the sum $$\sum a_i f(i)$$ for any sequence of complex numbers $a_i$ in terms of the Fourier coefficients of $f$. This work generalizes a paper by Berndt and Zaharescu that considered sums weighted by real, odd, non-principal Dirichlet characters.

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

Some category theory (cont'd)

Shivi Bansal   [email] (UIUC Math)

Abstract: We will finish describing triangulated categories, their truncations and cores. To wrap up, we will see an important example of a core of a triangulated category.

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

Iwasawa Theory

Tim Kilbourn (UIUC Math)

Abstract: (RAP Elliptic Curves and Iwasawa Theory, Part 2) This week is the second and last part of a review of results from Iwasawa Theory.

3:00 pm in 345 Altgeld Hall,Thursday, February 2, 2006

Generalized 3G theorem, non-local Schrodinger operator and relativistic stable process on non-smooth open sets

Panki Kim   [email] (UIUC Math)

Abstract: When G is Green function on a domain, we say that the 3G theorem is true if G(x,z)G(z,w)/G(x,w) is less than c g(|x-z|) g(|z-w|) /g(|x-w|) where g(|x-y|) is Green function in R^d. 3G theorem above is closely related to Kato class, the conditional Gauge theorem and local Schrodinger operators. In this talk, we will discuss about the generalized 3G theorem; The generalized 3G form is G(x,y)G(z,w)/G(x,w) where y may be different from z. This 3G form appears in non-local Schrodinger operator theory. The generalized 3G theorem is equally important in non-local Schrodinger operators as is the classical 3G theorem in local Schrodinger operators. Using the generalized 3G theorem, we give a concrete form of non-local Kato class. We will also discuss other consequences of the generalized 3G theorem. In particular, some boundary potential theory of relativistic stable process in non-smooth open sets. This is a joint work with Young-Ran Lee.