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Explore cutting-edge developments in algebraic K-theory through this intensive summer school featuring ten specialized talks delivered by postdoctoral researchers in the style of an Oberwolfach Arbeitsgemeinschaft. Delve into advanced topics including syntomic and étale motivic cohomology, prismatic cohomology, motivic stable homotopy theory, and localizing invariants. Learn from expert presentations on crystalline cohomology through homotopical approaches, Efimov K-theory, and K-theoretic localization theorems. Examine the intersection of algebraic K-theory with geometric topology, motivic cohomology of schemes, and twisted K-theory in motivic homotopy theory. Discover recent advances in prismatic cohomology applications to commutative ring spectra and delta-rings, while exploring connections to Gromov-Witten invariants in A¹-homotopy theory and presentation lemmas in mixed characteristic settings.
