Theta Series - Representation Theory, Geometry, and Arithmetic

Explore advanced topics in theta series through this comprehensive conference series covering representation theory, geometry, and arithmetic applications. Delve into cutting-edge research including ramification of supercuspidal parameters, the Fricke-Macbeath curve and triple product L-functions, and sup-norm bounds on average for Siegel modular forms. Examine representations of reductive p-adic groups over number or finite fields, Kudla-Rapoport special cycles, and AFL conjectures. Investigate arithmetic volumes of unitary Shimura varieties, CM values of higher automorphic Green functions, and Eisenstein cocycles with their connections to L-function values. Study higher arithmetic Siegel-Weil formulas for unitary groups, dichotomy and Howe duality for exceptional theta correspondences, and local Jiang's Conjecture for Arthur Packets. Analyze the Beilinson-Bloch conjecture and arithmetic inner product formulas, mixed motives with large unipotent radical motivic Galois groups, and p-adic uniformization of Shimura curves. Discover connections between Eisenstein series and cohomology of congruence groups, foliations on Shimura varieties, and the Kudla-Rapoport conjecture over ramified primes.