Spectra of locally symmetric geometries

sarnak

 

On December 26 2024 (Thursday), December 30 2024 (Monday) and January 2 2024 (Thursday), Prof. Peter Clive Sarnak (Princeton, IAS) will be giving the Gordon lectures at the Einstein institute, Hebrew University of Jerusalem.

The first two lectures will be concerned with the Bass note of locally-uniform geometries, and the last lecture will be on gaps in spectra of Frobenius and of graph eigenvalues. Accompanying the lectures, there will be a workshop on dynamics and number theory, with talks given on two days of every week of the visit.

If you intend to come to the workshop, please register in the link.

Poster

 

Tuesday, Dec 24 in Lecture Hall 2, Manchester Building
11:30 Registration

12:00-13:00 Omri Solan (Hebrew University)
Limits of compact diagonal orbits in the lattice space

13:00-14:00 Lunch at the Faculty Room, Manchester Building

14:00-15:00 Nattalie Tamam (University of Michigan)
Closure of orbits of the pure mapping class group in the character variety

15:00-16:00 Coffee Break

16:00-17:00 Uri Shapira (Technion)
Aspects of best approximations

Thursday, Dec 26 in Lecture Hall 2, Manchester Building
10:30-11:30 Alex Gamburd (CUNY Graduate Center)
Arithmetic and dynamics on varieties of Markoff type

11:30-12:00 Coffee Break

12:00-13:00 Elon Lindenstrauss (IAS and Hebrew University)
Effective results regarding the Oppenheim Conjecture and polynomial effective equidistribution

13:15 Conference photo

13:30-14:30 Lunch at the Faculty Room, Manchester Building

14:30-15:30 Peter Sarnak (Princeton and IAS)
Bass-note spectra for Euclidean geometries

15:30-16:00 Colloquium Refreshments

16:00-17:00 Zeev Rudnick (Tel Aviv University)
A number theorist's adventures in the land of spectral theory

Monday, Dec 30 in Lecture Hall 130, IIAS
12:00-13:00 Georgios Kotsovolis (Princeton) on zoom

13:00-14:30 Lunch at the Faculty Room, Manchester Building

14:30-15:30 Peter Sarnak (Princeton and IAS)
Bass-note spectra of hyperbolic geometries

15:30-16:30 Borys Kadets (Hebrew University)
Groups of points on abelian and Jacobian varieties over finite fields

16:30-17:00 Coffee Break

17:00-18:00 Alex Smith (UCLA) on zoom
The distribution of conjugates of an algebraic integer

19:00-22:00 Seminar dinner at the Modern Restaurant, Israel Museum

Tuesday, Dec 31 in Eilat Hall, Feldman Building
12:00-13:00 Barak Weiss (Tel Aviv University) 
Diophantine approximation on fractals and random walks on the space of lattices and its S-adic extension

13:00-14:00 Lunch at the Faculty Room, Manchester Building

14:00-15:00 Menny Aka (ETH Zurich) on zoom
Effective Disjointness and Joint Equidistribution

15:00-16:00 Coffee Break

16:00-17:00 Amos Nevo (University of Chicago)
Optimal Diophantine exponents and spectral estimates in the automorphic representation

17:15-18:15 Anshul Adve (Princeton) on zoom


Thursday, Jan 2 in Lecture Hall 130, IIAS
11:00-12:00 Peter Sarnak (Princeton and IAS)
Prescribing the spectra of cubic graphs

12:00-12:30 Coffee Break

12:30-13:30 Lior Bary-Soroker (Tel Aviv University)
Irreducibility of the Characteristic Polynomial of Random Tridiagonal Matrices

13:30-14:30 Lunch at the Faculty Room, Manchester Building

14:30–15:30 Snir Ben Ovadia (Penn State) (department colloquium)
Physical Measures for Smooth Dynamical Systems

15:30-16:30 Colloquium Refreshments

16:30-17:30 Bryce Orloski (Penn State) on zoom
Upper Bounds on the Schur-Siegel-Smyth Trace Problem