Speaker: Hugh WoodinW. Hugh Woodin is a Distinguished Professor Emeritus of Mathematics at the University of California, Berkeley and a Professor of Philosophy and of Mathematics at Harvard University. Woodin is a leading set theorist. He has made many notable contributions to the theory of inner models and determinacy, to functional analysis, and recursion theory. A type of large cardinal, the...
AbstractWe study some natural representations of current Lie algebras $g\otimes \Bbbk[t]$, called Weyl modules. They are natural analogues of irreducible representations of simple Lie algebras. There are several current analogues of classical theorems about Lie algebras where these modules «play role» of irreducible modules. In my talk I will explain analogues of duality theorems, namely Peter-...