Monday, October 29, 2018
Time  Items 

All day 

2pm 
10/29/2018  2:30pm The localization theorem, which has played a central role in representation theory since its discovery in the 1980s, identifies a regular block of Category O for a semisimple Lie algebra with certain Dmodules on its flag variety. In this talk we will explain work in progress which produces a similar picture for the Virasoro algebra and more generally for affine Walgebras. Some new purely algebraic input is (i) a version of the FeiginFuchs duality between Verma modules for Vir at central charges c and 26  c, which applies to all smooth representations and other affine Walgebras, (i)’ BRST reduction functors for affine W algebras, and (ii) a linkage principle for representations in category O of a Walgebra. As geometric input, we will explain how to (i) adapt the BeilinsonDrinfeld construction of vertex algebras via factorization spaces to also produce representations and in particular (ii) develop a factorizable version of affine Borel–Weil–Bott. Location:
LOM 214

4pm 
10/29/2018  4:15pm This introductory lecture will describe results about counting rational points on certain nonalgebraic sets and sketch how they can be used to attack certain problems in diophantine geometry and functional transcendence. Location:
DL 220
10 Hillhouse Avenue
New Haven, CT
06520
