Understanding the Notion of K-stability using 3-folds

  • Thu 18 Mar 21

    15:00 - 16:00

  • Online


  • Event speaker

    Nivedita Viswanathan

  • Event type

    Lectures, talks and seminars

  • Event organiser

    Mathematical Sciences, Department of

  • Contact details

    Dr Jesus Martinez-Garcia

These Departmental Seminars are for everyone in Maths. We encourage anyone interested in the subject in general, or in the particular subject of the seminar, to come along. It's a great opportunity to meet people in the Maths Department and join in with our community.

Understanding the Notion of K-stability using 3-folds

The main objects of study in Algebraic geometry are ‘varieties’, which are basically the geometric counterpart of solutions to polynomial equations. One of the most interesting questions to ask about a variety, is to determine whether it is ‘K-stable’. A conjecture by Yau-Tian-Donaldson gives an algebro-geometric way of looking at the notion of K-stability and many recent developments give very explicit ways of determining this property.

In this talk, my goal would be to give you a rough idea of why this is very interesting to study, by looking at an explicit example of a Fano 3-fold. We will first look at the basic concepts that would be required to do this, using some simple examples and then take you through an example of a 3-fold slowly. We will look at how best to describe the 3-fold using notions that are familiar to us and then describe how one would determine the K-stability of the same.

This is joint work with Jesus Martinez Garcia, Ivan Cheltsov, Costya Shramov, Kento Fujita, Carolina Araujo, Ana-Maria Castravet, Anne-Sophie Kaloghiros and Hendrick Suess.


Nivedita Viswanathan, University of Edinburgh

How to attend

If not a member of the Dept. Mathematical Science at the University of Essex, you can register your interest in attending the seminar and request the Zoom’s meeting password by emailing Dr Jesus Martinez-Garcia (jesus.martinez-garcia@essex.ac.uk)

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