Home » Vitaly Bergelson

Personal Profile of Vitaly Bergelson

Vitaly Bergelson

Talks

August 25, 2008 - August 29, 2008

Workshop Introduction to Ergodic Theory and Additive Combinatorics

Show All Collapse

Aug 26, 2008
Tuesday

09:30 AM - 10:30 AM		An Introduction to Diophantine Dynamics Vitaly Bergelson
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail

Aug 27, 2008
Wednesday

11:00 AM - 12:00 PM		Ergodic Ramsey theory and amenable groups Vitaly Bergelson
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail

August 21, 2008 - August 22, 2008

Workshop Broader Connections: Ergodic Theory and Additive Combinatorics

Show All Collapse

Aug 21, 2008
Thursday

09:30 AM - 10:30 AM		An Introduction to Ideas and Methods of Ergodic Ramsey Theory Vitaly Bergelson
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail

Aug 22, 2008
Friday

09:30 AM - 10:30 AM		An Introduction to Ideas and Methods of Ergodic Ramsey Theory Vitaly Bergelson
Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail

October 10, 2007 - October 11, 2007

Workshop Modern Mathematics: An Introduction to MSRI's 2008-09 Programs

Show All Collapse

Oct 11, 2007
Thursday

04:00 PM - 05:00 PM		Ergodic Ramsey Theory Vitaly Bergelson
Location -- Video -- Abstract The main focus of this introductory lecture is the fascinating interplay between ergodic theory, Ramsey theory and Diophantine analysis. Ergodic theory has its roots in statistical and celestial mechanics and studies such phenomena as recurrence and uniform distribution of orbits. Ramsey theory, a branch of combinatorics, is concerned with the phenomenon of preservation of highly organized structures under finite partitions. Diophantine analysis concerns itself with integer and rational solutions of systems of polynomial equations. We will start with some examples which demonstrate the usefulness of the ergodic approach to combinatorics and number theory. The discussion will naturally lead us to some fascinating recent developments such as the celebrated Green-Tao theorem on arithmetic progressions in primes. We will conclude by formulating and discussing some natural open problems. Supplements -- Show Detail