Date and Time: Friday 24 July 6.30pm - 7.30pm.
Google meet link:
https://meet.google.com/epm-ddze-asm
Speaker: Hai Long Dao, The University of Kansas.
Title: Reflexive modules over curve singularities
Abstract: A finitely generated module $M$ over a commutative ring $R$ is
called reflexive if the natural map from $M$ to $M^{**} = Hom(Hom(M,R),
R)$ is an isomorphism. In understanding reflexive modules, the case of
dimension one is crucial. If $R$ is Gorenstein, then any maximal
Cohen-Macaulay module is reflexive, but in general, it is quite hard to
understand reflexive modules even over well-studied one-dimensional
singularities. In this work, joint with Sarasij Maitra and Prashanth
Sridhar, we will address this problem and give some partial answers.