K-groups and cohomology groups are important invariants in different areas of mathematics, from arithmetic geometry to algebraic and geometric topology to operator algebras. The idea is to associate ...
Our research group is concerned with two lines of investigation: the construction and study of (new) cohomology theories for algebraic varieties and the study of various aspects of the Langlands ...
Algebraic groups form a central pillar in modern mathematics, bridging abstract algebra, geometry, and number theory. These groups, being simultaneously algebraic varieties and groups, serve as ...
Algebraic structures constitute a central theme in contemporary mathematics, encapsulating the interplay of operations on sets that adhere to specific axioms. The study of cohomology provides a ...
Interactions between theoretical computer science and mathematics (particularly algebraic geometry, representation theory, and group theory). In particular, this currently involves studying orbit ...
Algebraic geometry, a venerable branch of mathematics, focuses on the study of algebraic varieties—geometric manifestations of polynomial equations—while cohomology provides a suite of invariants that ...
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Condensed mathematics provides a convenient framework for studying algebraic objects that carry a topology, and in particular enables the construction of a derived fixed point functor on continuous GG ...