Brandeis Dynamics and Number Theory Seminar 2019-2020
The Brandeis Dynamics and Number Theory Seminar is a research seminar broadly showcasing modern research in ergodic theory and dynamical systems, Lie theory, representation theory, geometry, and their interactions with number theory.
Dmitry Kleinbock and Lam Pham
Time and Location
Thursdays at 3:00PM in Goldsmith 226
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Schedule of Talks
|September 12||Dmitry Kleinbock||Brandeis University||Shrinking targets in dynamics and number theory||Link to Abstract|
|September 19||Lam Pham||Brandeis University||Expansion spectral gaps in Lie groups||Link to Abstract|
|September 26||Dmitry Kleinbock||Brandeis University||Shrinking targets in number theory and dynamics||Link to Abstract|
|October 31||Rahul Krishna||Brandeis University||TBA||Link to Abstract|
|November 7||Byungchul Cha||Muhlenberg College||TBA||Link to Abstract|
|November 21||Jonathan Jaquette||Brandeis University||Wright’s Conjecture and the Prime Number Theorem||Link to Abstract|
September 12 @ 3:00PM – Dmitry Kleinbock (Brandeis) – Shrinking targets in dynamics and number theory
Abstract This is going to be an introduction to an active area of ergodic theory and dynamics, with applications to number theory. No background will be assumed, all are welcome.
September 19 @ 3:00PM – Lam Pham (Brandeis) – Expansion and spectral gaps in Lie groups
Abstract I will survey recent results on various forms of expansion in groups. This is an old topic rooted in Lie theory and representation theory with many deep connections to number theory, geometry, dynamics, and even computing. I will present classical constructions due to Margulis, Kazhdan, and Lubotzky-Phillips-Sarnak and explain the breakthrough work of Bourgain and Gamburd on expansion in thin groups. Finally, I will present related works on improvements and generalizations of the Tits alternative and Kazhdan's Property $(T)$. The talk will be self-contained, with no background assumed.
September 26 @ 3:00PM – Dmitry Kleinbock (Brandeis) – Shrinking targets in number theory and dynamics
October 31 @ 3:00PM – Rahul Krishna (Brandeis University) – Title TBA
November 7 @ 3:00PM – Byungchul Cha (Muhlenberg College) – Title TBA
November 21 @ 3:00PM – Jonathan Jaquette (Brandeis University) – Wright’s Conjecture and the Prime Number Theorem