Explore advanced mathematical concepts through this comprehensive workshop series featuring 20 specialized lectures on periods and regulators delivered by leading mathematicians at the Hausdorff Research Institute for Mathematics. Delve into cutting-edge research topics including motivic cohomology, multiple zeta values, algebraic cycles, and their interconnections through presentations by renowned experts such as Yves André on periods of relative 1-motives, Joseph Ayoub on the conservativity conjecture for Chow motives, and Richard Hain on modular inverters. Examine the intricate relationships between polylogarithms and cluster algebras, investigate Charlton's conjecture on multiple zeta values, and discover elliptic analogs of multiple zeta values. Study advanced topics in algebraic geometry including Chow-Witt groups, arithmetic intersection theory, and the cohomological description of special values of zeta functions. Gain insights into the Galois group of mixed Hodge-Tate structures, explore period integrals of open Fermat surfaces, and understand the connections between automorphic forms and Hermitian lattices. Access detailed mathematical discussions on confluence relations, motivic multiple zeta values, and the cyclic insertion conjecture, while exploring the interplay between algebraic cycles and L-functions in this intensive mathematical workshop spanning over 21 hours of expert presentations.

Syllabus

Yves André: Periods of relative 1 motives
Joseph Ayoub: The conservativity conjecture for Chow motives in characteristic zero
Sinan Unver: Infinitesimal Chow Dilogarithm
Daniil Rudenko: Polylogarithms, cluster algebras and Zagier conjecture
Matt Kerr: Apery extensions
Richard Hain: Modular inverters
Nobuo Sato: Charlton's conjecture on multiple zeta values
Neil Dummigan: Automorphic forms on Feit's Hermitian lattices
Minoru Hirose: Confluence relations of multiple zeta values
Nils Matthes: Elliptic analogs of multiple zeta values
Francesco Lemma: Algebraic cycles and residues of degree eight L functions of GSp4xGL2
Benjamin Enriquez: A Betti counterpart of the harmonic coproduct II
Anthony Scholl and Jan Nekovar: Plectic cohomology
Steven Charlton: Motivic MZV's and the cyclic insertion conjecture
Marc Levine: Chow Witt groups, ramification and quadratic forms
José Ignacio Burgos Gil: Arithmetic intersection of Bloch higher cycles
Stephen Lichtenbaum: Cohomological description of special values of zeta functions
Tomohide Terasoma: Period integrals of open Fermat surfaces and special values of hypergeometric
Guangyu Zhu: The Galois group of the category of mixed Hodge Tate structures
Michael Hoffman: Multiple zeta values and alternating MZVs arising from a combinatorial problem