Department of

Mathematics


Seminar Calendar
for events the day of Thursday, May 1, 2014.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Thursday, May 1, 2014

11:00 am in 241 Altgeld Hall,Thursday, May 1, 2014

Some characterizations of Mersenne and 2-rooted primes

Sunil Chebolu (Illinois State Univ. Math)

Abstract: In joint work with Gail Yamskulna, we obtained some characterizations of Mersenne prime and primes for which 2 is a primitive root. These characterizations are based on group algebras, circulant matrices, binomial coefficients and bipartite graphs.

12:30 pm in 243 Altgeld Hall (NOTE ROOM CHANGE),Thursday, May 1, 2014

Mirror Symmetry and integral Griffiths-Frobenius structure on Calabi-Yau fourfolds

Albrecht Klemm (Bonn Physics)

Abstract: Using homological mirror symmetry we fix the integer monodromy basis on  the primitive  horizontal homology of Calabi-Yau fourfolds. In particular we calculate explicitly the monodromy group for nine  one parameter  fourfolds. Analytic continuation using the Mellin-Barnes integral  representation allows us to study the periods and the Weil-Petersson  metric everywhere in the complex moduli space. We check and extend this  results using the Gamma class and formulas for the hemisphere partition  function obtained by supersymmetric localization of the gauged linear  sigma model on the hemi-sphere.      

1:00 pm in Altgeld Hall 347,Thursday, May 1, 2014

Decision problems and representation theory

Ben McReynolds (Purdue University)

Abstract: In this talk, I will discuss some connections between decision problems on groups like the generalized word and conjugacy problems and representation theory. The central theme is to reduce decision problems to elementary problems like checking if a number is zero or not. I will focus on the conjugacy problem and discuss geometric/topological ideas that motivate the algebraic algorithm we provide for free and surface groups. This is joint work with K. Bou-Rabee and separately S. Lawton and L. Louder.

2:00 pm in 243 Altgeld Hall,Thursday, May 1, 2014

Commutators of singular integrals, the Bergman projection, and boundary regularity of elliptic equations in the plane

Alex Tumanov (UIUC Math)

Abstract: It turns out that the three classical topics mentioned in the title are closely related. You won't believe, but I will present new results on all of them. In particular, I will give an explicit asymptotic formula for the Bergman projection for a smooth domain in C.

2:00 pm in 241 Altgeld Hall,Thursday, May 1, 2014

Generic singularity of maximal spectral types (part 1)

Anush Tserunyan (UIUC Math)

Abstract: We will start reading through "Generic spectral properties of measure-preserving maps and applications" by Del Junco and Lemanczyk.

3:00 pm in 243 Altgeld Hall,Thursday, May 1, 2014

Containing Symbolic Powers in Regular Rings

Mark Johnson (U Arkansas Math)

Abstract: We discuss results of Ein-Lazarsfeld-Smith, Hochster-Huneke, and Takagi-Yoshida concerning the containment of symbolic powers of ideals in ordinary powers, in regular rings.