Arthur B. Coble Memorial Lectures
35th Annual Lecture Series
April 11-13, 2006
Efim Zelmanov
University of California at San Diego
will present
Lecture 1. Tuesday, April 11, 4:00 p.m., 314 Altgeld Hal1
Infinite dimensional Lie (super)algebras
A reception will be held following the lecture at 5 p.m. in 321 Altgeld Hall (Common Room).
- We will discuss
(i) infinite dimensional Lie (super)algebras of polynomial growth, and
(ii) infinite dimensional Lie (super)algebras graded by root systems.
Surprisingly both theories lead to very similar objects.
Lecture 2. Wednesday, April 12, 4:00 p.m., 314 Altgeld Hall
On Golod-Shafarevich groups
- The talk will focus on groups presented by generators and relators. In 1964
Golod and Shafarevich found a sufficient condition for such groups to be
infinite. We will discuss various properties of Golod - Shafarevich groups
and their connections with Geometry and Number Theory.
Lecture 3. Thursday, April 13, 4:00 p.m., 314 Altgeld Hall
Some Ring - Theoretic problems inspired by Combinatorial Group Theory
- I will list open problems concerning infinite dimensional algebras and
explain how each problem arises in Combinatorial Group Theory or is inspired
by it.
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