Algebraic Geometry Seminar - Drinfeld's Lemma, Moduli Spaces, Hodge Theory, and Geometric Langlands

Explore advanced topics in algebraic geometry through this comprehensive lecture series featuring five distinguished mathematicians presenting cutting-edge research. Delve into Drinfeld's lemma for schemes with Kiran Kedlaya, examining fundamental structural properties in algebraic geometry. Investigate volumes and intersection theory on moduli spaces of Abelian differentials through Dawei Chen's analysis of geometric measures on these complex mathematical spaces. Study the singular Hodge theory of matroids as Jacob Matherne bridges combinatorial and algebraic structures through sophisticated theoretical frameworks. Examine Chow motives, L-functions, and powers of algebraic Hecke characters with Laure Flapan, connecting arithmetic and geometric perspectives in modern number theory. Conclude with Sam Raskin's presentation on the Geometric Langlands Conjecture, one of the most significant open problems connecting representation theory, algebraic geometry, and number theory. Each lecture provides deep insights into current research directions and methodologies in algebraic geometry, making this series valuable for graduate students and researchers seeking to understand the forefront of mathematical research in this field.