# The Bowen Lectures

The Bowen Lectures are supported by anonymous donors, one of whom was an undergraduate student of Rufus Bowen.

The 2020-2021 Bowen Lectures will be given by **Efim Zelmanov (UCSD)**, online. Each lecture starts at 4:10pm and ends at 5:00 pm.

Title of the Series:** Combinatorial Algebra**

*Abstract of the Series*:

Combinatorial Algebra has traditionally focused on generators and relations, growth functions and questions related to the Burnside problem. We will discuss all these topics for groups, algebras, Lie algebras etc.

Tuesday March 16th (Rescheduled)

Lecture 1: **Growth functions**.

*Abstract*:

We will discuss two functions that characterize finitely generated algebras (resp. monoids): (1) time complexity function and (2) growth functions.

Thursday March 11th

Lecture 2: **Infinite dimensional Lie algebras and superalgebras**.

*Abstract*:

The class of Lie algebras of slow growth includes affine Kac-Moody algebras, algebras of Cartan type, superconformal algebras. We will focus on attempts of classification of these algebras and their representations.

Friday March 12th

Lecture 3: **Identical relations in groups**.

*Abstract*:

The celebrated theorem of Amitsur-Levitzki provides identities for matrices over commutative rings. We will discuss group theoretic analogs for prounipotent and pro-p linear groups.

Born in 1947 in Vallejo, California, Robert Edward (Rufus) Bowen was awarded the AB with prizes for scholarship by the University of California at Berkeley in 1967. His doctorate in Mathematics was completed in Berkeley in 1970 under the direction of Stephen Smale. In that year he was appointed to the faculty of the Department of Mathematics at Berkeley. He was promoted to the rank of Professor in 1977.

Bowen worked in mathematical dynamics systems theory. His pioneering studies of topological entropy, symbolic dynamics, Markov partitions, and invariant measures are of lasting importance; much of today's research is inspired by his ideas.

### Past Bowen Lecturers

1981-82 Dennis Sullivan

1982-83 Anatol Katok

1983-84 Michael Atiyah

1984-85 John Franks

1985-86 William Parry

1986-87 Nancy Kopell

1987-88 Blaine Lawson

1988-89 David Ruelle

1989-90 Yuri Manin

1990-91 John Milnor

1991-92 Philip Holmes

1992-93 Israel M. Gelfand

1993-94 Alain Connes

1994-95 Shing-Tung Yau

1995-96 Peter Sarnak

1996-97 Vladimir Arnold

1997-98 Simon Donaldson

1998-99 Barry Mazur

1999-00 Cliff Taubes

2000-01 Don Zagier

2001-02 Yakov G. Sinai

2002-03 Roger Penrose

2003-04 Richard Hamilton

2004-05 Curt McMullen

2005-06 John Conway

2006-07 Edward Witten

2007-08 Michael Freedman

2008-09 Hillel Furstenberg

2009-10 Christophe Soulé

2010-11 Michael Hopkins

2011-12 Cédric Villani

2012-13 Benedict Gross

2013-14 Jeff Cheeger

2014-15 Dusa McDuff

2015-16 Jacob Lurie

2016-17 Michael Harris

2017-18 Avi Wigderson

2018-19 James McKernan and Christopher Hacon