Time: Monday 10th August 4 to 5pm (joining time 3.50pm)
Google Meet Link: https://meet.google.com/ute-oxyh-xjm
Title: Ulrich bundles on double planes
Abstract: Ulrich bundles are vector bundles on a smooth projective variety
whose twists satisfy a set of vanishing conditions. It has been
conjectured that every smooth projective variety carries an Ulrich bundle.
The answer to this is not known in general but is known in the case of
certain projective varieties. In this talk, I will give an introduction to
Ulrich bundles. I will also discuss the existence of Ulrich line bundles
over double covers of the projective plane. This is based on joint work
with A.J. Parameswaran.
Time:
5:30pm
Description:
Date and Time: 11 August 2020, 5:30 pm IST /12:00 GMT / 08:00am EDT
(joining time : 5:15 pm IST - 5:30 pm IST)
Google Meet link: https://meet.google.com/zmi-ingb-dyg
Speaker:A De Stefani, University of Genoa.
Title: Deformation and stability of F-injective singularities
Abstract: Picking up from the talk given by Linquan Ma, I will discuss
some more cases where deformation of F-injectivity is known to hold, and I
will discuss the related notion of m-adic stability. The talk will be
based on joint projects with Linquan Ma (deformation) and Ilya Smirnov
(stability).
Time:
6:30pm
Description:
Date and Time: 14 August 2020, 6:30 pm IST / 01:00pm GMT / 09:00am EDT
(joining time : 6:15 pm IST - 6:30 pm IST)
Google Meet link: https://meet.google.com/xpn-pbur-dhz
Speaker: Luis Núñez Betancourt, CIMAT, Mexico
Title: Splittings and symbolic powers of Ideals
Abstract: Splittings of Frobenius have been employed to study the
singularities and cohomology of rings. In this talk we will employ ideas
inspired by this technique to obtain results of symbolic powers of
monomial and determinantal ideals.