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Explore advanced topics in algebraic geometry and number theory through this comprehensive seminar series featuring leading mathematicians. Delve into Dieudonné theory with both classical and stacky approaches presented by Shubhodip Mondal, examining the fundamental connections between formal groups and linear algebra. Study the intricate structure of n-truncated Barsotti-Tate groups through Vladimir Drinfeld's four-part lecture series, gaining deep insights into these crucial objects in arithmetic geometry. Investigate the moduli stack of displays with Casimir Kothari and examine truncated Barsotti-Tate groups alongside truncated displays in Eike Lau's two-part presentation. Discover cutting-edge developments in K-theory through Alexander Efimov's talks on localizing invariants of large categories and the commutation of K-theory with inverse limits. Explore Jacob Lurie's groundbreaking work on the prismatization of the field with one element, bridging abstract algebra and geometry. Conclude with Ben Heuer's examination of moduli spaces in p-adic non-abelian Hodge theory, connecting arithmetic and geometric perspectives in modern algebraic geometry.
