Department of

# Mathematics

Seminar Calendar
for events the day of Thursday, October 24, 2013.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    September 2013          October 2013          November 2013
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1  2  3  4  5  6  7          1  2  3  4  5                   1  2
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Thursday, October 24, 2013

11:30 am in Urbana Country Club,Thursday, October 24, 2013

2:00 pm in 149 Henry Administration Building,Thursday, October 24, 2013

#### An infinite family of congruences for the smallest part partition function

###### Timothy Ferguson (UIUC Math)

Abstract: My talk will be based on the paper "Congruences for the Andrews spt function" by Ken Ono. Using the fact that the generating function for spt is closely related to a mock modular form, I will use some basic techniques and facts about harmonic Maass forms, mock modular forms, and modular forms to prove congruences for spt for all primes greater than 3. I will roughly define and state all properties of harmonic Maass forms, mock modular forms, and modular forms that will be necessary.

2:00 pm in 243 Altgeld Hall,Thursday, October 24, 2013

#### Poincare linearizers in higher dimensions

###### Alastair Fletcher (Northern Illinois University)

Abstract: It is well-known that the behaviour of a holomorphic function near a fixed point is determined by its derivative there. In the case of a repelling fixed point z_0, the function can be conjugated to z->f'(z_0)z and the class of functions which do the conjugating are called Poincare linearizers. We will discuss extending this idea to the setting of quasiregular mappings in higher dimensions, and in particular exploring the dynamics of quasiregular Poincare linearizers.

2:00 pm in 100 MSEB,Thursday, October 24, 2013

#### How Computation Is Affecting Everything

###### Stephen Wolfram (Wolfram Research)

Abstract: Stephen Wolfram is the founder & CEO of Wolfram Research, creator of Mathematica & Wolfram|Alpha and author of A New Kind of Science.

3:00 pm in 243 Altgeld Hall,Thursday, October 24, 2013

#### Multiplicities of Classical Varieties

###### Jonathan Montano (Purdue University)

Abstract: The j-multiplicity plays an important role in the intersection theory of Stuckrad-Vogel cycles, while recent developments confirm the connections between the epsilon-multiplicity and equisingularity theory. In this talk, I will report joint work with Jack Jeffries and Matteo Varbaro, where we are able to compute the j-multiplicity of all the ideals defining rational normal scrolls by establishing a relationship between the j-multiplicity of an ideal and the degree of its fiber cone. We are also able to express the j- and epsilon-multiplicities of ideals defining determinantal varieties as the integral of a polynomial over a region

4:00 pm in Loomis 151,Thursday, October 24, 2013

#### Computation, Technology, Physics and Physicists

###### Stephen Wolfram (Wolfram Research)

4:00 pm in 245 Altgeld Hall,Thursday, October 24, 2013

#### The Dirichlet to Neumann map of high contrast media

###### Liliana Borcea (University of Michigan)

Abstract: I will describe a problem of electrical conduction in a composite material consisting of highly conducting inclusions packed close together so they are close to touching. The mathematical model is an elliptic equation in divergence form, with a high contrast coefficient. I will describe the homogenization problem for this equation, but the goal is to get more detailed information in order to approximate the Dirichlet to Neumann map. I will show how to obtain such an approximation using variational principles and asymptotic analysis.