SEMINAR: Colloquium: Thin integer matrix groups and the affine sieve
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Colloquium: Thin integer matrix groups and the affine sieve |
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Colloquium by the 2011 Mahler Lecturer
Peter Sarnak (Princeton University)
will speak on
Thin integer matrix groups and the affine sieve
at 1:30pm on Friday 12th of August in Engineering Lecture Theatre 1
Abstract: Infinite index subgroups of integer matrix groups like SL(n,Z) which are Zariski
dense in SL(n) arise in geometric diophantine problems (eg Integral Apollonian Packings) as well as
monodromy groups associated with families of varieties. One of the key features needed
when applying such groups to number theoretic problems is that the congruence graphs
associated with these groups are "expanders".We will introduce and explain these ideas and review some
recent developments especially those connected with the affine sieve.
About the speaker: Professor Peter Sarnak grew up in South Africa and moved to the US to study at Stanford University, where he obtained his PhD in mathematics in 1980. After appointments at the Courant Institute, New York, and Stanford, he moved to Princeton in 1991 where he has been ever since. Currently he is both the Eugene Higgins Professor of Mathematics at Princeton University and Professor at the the Institute for Advanced Study in Princeton. In 2002, he was made a member of the National Academy of Sciences in the USA and a Fellow of the Royal Society.
Peter Sarnak is a major figure in modern analytic number theory, with research interests also in analysis and mathematical physics. He has received many awards for his research including the Polya prize in 1998, the Ostrowski prize in 2001, the Conant prize in 2003 and the Cole prize in 2005. He has had 43 PhD students to date, including several who have become major figures in number theory themselves.
The Mahler lectures are a biennial
activity organised by the Australian Mathematical Society with the
assistance of the Australian Mathematical Sciences Institute.
Speaker(s) |
Peter Sarnak
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Location |
Engineering Lecture Theatre 1
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Contact |
Michael Giudici
<[email protected]>
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Start |
Fri, 12 Aug 2011 13:30
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End |
Fri, 12 Aug 2011 14:30
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Submitted by |
Michael Giudici <[email protected]>
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Last Updated |
Thu, 28 Jul 2011 10:22
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