Family 3-5 and \delta-invariant of polarized del Pezzo surfaces

Date(s): Thursday 4th April 2024 (10:00-11:00)
Contact: Event Convenor Contact: A.M.Kasprzyk@nottingham.ac.uk
Description: Speaker's Name: Elena Denisova
Speaker's Affiliation: Edinburgh
Speaker's Research Theme(s): Algebraic Geometry,
Abstract:
It is known that a smooth Fano variety admits a Kahler Einstein metric if and only if it is K-polystable. For two-dimensional Fano varieties (del Pezzo surfaces) Tian and Yau proved that a smooth del Pezzo surface is K-polystable if and only if it is not a~blow up of P^2 in one or two points. A lot of research was done for threefolds however, not everything is known and often the problem can be reduced to computing \delta-invariant of (possibly singular) del Pezzo surfaces. In my talk, I will present an explicit example of such computation.

Venue: Teams
Online Conference Link: https://teams.microsoft.com/l/meetup-join/19%3abc0bccd250d74459ac05c0b3e0ff9b76%40thread.tacv2/1711623211223?context=%7b%22Tid%22%3a%2267bda7ee-fd80-41ef-ac91-358418290a1e%22%2c%22Oid%22%3a%222dbd114f-1c6d-4e8b-aab9-fadd00bd8602%22%7d

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