Algebraic Cycles on Spin Shimura Varieties and Special Values of L-Functions

Explore the intricate connections between algebraic cycles on spin Shimura varieties and special values of L-functions in this conference talk from the 8th edition of "Geometry in Algebra, Algebra in Geometry" workshop. Delve into advanced topics at the intersection of algebraic geometry and number theory as the speaker examines how algebraic cycles on these specialized geometric objects relate to the arithmetic properties encoded in L-function values. Learn about the sophisticated mathematical structures that emerge when studying spin Shimura varieties, which are geometric spaces with rich symmetry properties, and discover how their algebraic cycles provide insights into deep arithmetic phenomena. Understand the theoretical framework connecting geometric objects to analytic functions, exploring how special values of L-functions can be interpreted through the lens of algebraic cycles. Gain exposure to cutting-edge research methodologies in arithmetic geometry and appreciate the profound connections between seemingly disparate areas of mathematics, from the geometric study of Shimura varieties to the analytic properties of L-functions and their special values.