Mon, September 28, 2020
Public Access Category: All |
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- Time:
- 11:30am
- Description:
- Date and Time: Monday 28 September, 11.30 am - 12.30 pm
Google Meet link: meet.google.com/ahu-peka-sto
Speaker: Oorna Mitra, IMSc
Title: Twisted Conjugacy in Linear Groups over Polynomial and Laurent
Polynomial Algebras over Finite Fields
Abstract: Given an automorphism \phi : G \to G, one has the \phi-twisted
conjugacy action of G on itself, given by g.x = g x\phi(g^{-1}). The
orbits of this action are called the \phi-twisted conjugacy classes. In
this talk, we will talk about twisted conjugacy in general and special
linear groups over F[t] and F[t, t^{-1}] where F is any subfield of the
algebraic closure of \mathbb{F}_p. This is joint work with P. Sankaran.
Some new results by Shripad Garge and myself regarding twisted conjugacy
in other classical groups over \mathbb{F}_q[t] and \mathbb{F}_q[t,t^{-1}]
will also be mentioned.
- Time:
- 4:00pm-5:00pm
- Description:
- Speaker: Frank Gounelas, TU Munich
Time: Monday 28th September 4 to 5pm (joining time 3.50pm IST)
Google Meet Link: https://meet.google.com/qvo-kduy-yco
Title: Curves on K3 surfaces
Abstract: I will survey the recent completion (joint with Chen-Liedtke) of
the remaining cases of the conjecture that a projective K3 surface
contains infinitely many rational curves. As a consequence of this along
with the Bogomolov-Miyaoka-Yau inequality and the deformation theory of
stable maps, I will explain (joint with Chen) how in characteristic zero
one can deduce the existence of infinitely many curves of any geometric
genus moving in maximal moduli on a K3 surface. In particular this leads
to an algebraic proof of a theorem of Kobayashi on vanishing of global
symmetric differentials and applications to 0-cycles.