Activities This Week
AGNT
Descent and Redshift in Algebraic K-Theory
Jan 29, 14:10—15:10, 2025, -101
Speaker
Shay Ben-Moshe (Max Planck–Weizmann)
Abstract
I will begin with an introduction to algebraic K-theory, highlighting its connections to number theory and algebraic geometry, with a focus on descent phenomena. Next, I will provide an overview of chromatic homotopy theory and its relationship to K-theory. I will then discuss the redshift conjecture and several significant advances from recent years. Finally, I will present joint work with Carmeli, Schlank and Yanovski on the compatibility of K-theory with chromatic analogues of cyclotomic extensions. I will explain how this result contributed to the recent refutation of Ravenel’s long-standing telescope conjecture.