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Seminars, Colloquia, and Conferences

2014 Norbert Wiener Lectures

Skip Garibaldi

Associate Director, Institute for Pure and Applied Mathematics, UCLA
Professor, Department of Mathematics and Computer Science, Emory University

EXPECT THE EXPECTED
(April 23-25, 2014)
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Undergraduate Seminar
Topological and Generic Methods in Algebra
Wednesday, April 23, 4:00pm; Cabot Intercultural Center 205
Reception: 3:30pm; Cabot Intercultural Center Lounge

Abstract:

In calculus we take limits and think about graphs all the time, and it would be nice to be able to use the same sorts of techniques in courses like abstract linear algebra (Math 72) and abstract algebra (Math 145 & 146), even when you aren't working with real or complex numbers. I'll explain how these techniques can be used and give some examples of their application.

Public Lecture
Some People Have All the Luck
Thursday, April 24, 4:30pm; Pearson 104
Reception: 5:30pm; Aidekman Arts Center, Remis Sculpture Court

Abstract:

Winning a prize of at least $600 in the lottery is a remarkable thing - for a scratcher ticket the odds are worse than 1-in-1200 and 1-in-9000 is a more typical figure. Some people have won many of these large prizes, and clearly they are very lucky or they buy a ton of lottery tickets. When we investigated records of all claimed lottery prizes, we discovered that some people had won hundreds of these prizes! Such people seem to be not just lucky, but suspiciously lucky. I will explain what we thought they might have been up to, what mathematics says about it, and what further investigations revealed. This talk is about joint work with Lawrence Mower, an investigative reporter for the Palm Beach Post, and Philip B. Stark, professor and chair of the UC Berkeley Department of Statistics.

Colloquium
Groups Stabilizing Polynomials
Friday, April 25, 1:00pm; Bromfield-Pearson 101
Reception: 12:30pm; Bromfield-Pearson, Clarkson Conference Room

Abstract:

The classical "linear preserver problem" asks: Given a polynomial in finitely many variables, what is the group of linear transformations that preserve it? This problem has been solved for many interesting polynomials, usually by means that are special to the particular polynomial under consideration. We turn this problem on its head by starting with a polynomial that is preserved by a simple algebraic group and observe that the full preserver can be described by a general theorem. The results are new even in the case where the field is the complex numbers, and as an application we shed some light on a 125+ year old problem. This is joint work with Bob Guralnick.

 

The Norbert Wiener Lectures were initially funded by an anonymous gift to the Department of Mathematics. All talks are free and open to the public.

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