Arithmetic geometry of orthogonal and unitary Shimura varieties (12w5011)
Fabrizio Andreatta (University of Milano)
Jan Bruinier (TU Darmstadt)
Eyal Goren (McGill University)
This is a workshop in the subject of arithmetic geometry. Its focus is arithmetic geometry of orthogonal and unitary Shimura varieties. Its goal is to bring together researchers from several areas within number theory and representation theory, whose recent breakthroughs will enable significant process in the field. We hope that new collaborations and research direction emerge from the meeting and, at the some time, we wish to train graduate students and recent Ph.D. in this area. Progress in the arithmetic geometry of orthogonal and unitary Shimura varieties promises to yield many exciting further developments, such as applications to class field theory via the study of class invariants and height pairings, to generating series in Arakelov theory via the applications of recent developments in that area to Shimura varieties, connections between arithmetic cycles and automorphic forms in the sense of the Kudla Program, and more.