Products of K-moduli spaces

Add to your list(s) Download to your calendar using vCal

• Theodoros Stylianos Papazachariou (University of Cambridge)
• Friday 24 May 2024, 15:00-16:00
• Seminar Room 2, Newton Institute.

If you have a question about this talk, please contact nobody.

EMG - New equivariant methods in algebraic and differential geometry

In recent years, K-stability has made extraordinary progress in constructing moduli spaces of Fano varieties and log Fano pairs. This construction, however, is not explicit, and needs to be studied in a case-by-case basis to explicitly describe specific examples of moduli spaces for Fano varieties. In this talk I will describe the local and global structures of the K-moduli space of products of Fano varieties and provide a method to study K-moduli spaces of products of Fano varieties. I will demonstrate that a connected component of the K-moduli stack that contains a product, must only contain product Fano varieties. I will also demonstrate that there exists a well-defined morphism from the product of K-moduli stacks of Fano varieties to the K-moduli stack of their product and show that it is an isomorphism under specific conditions. Using this I will present some explicit examples of reduced connected components of the K-moduli stack of Fano threefolds, and log Fano pairs.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 2, Newton Institute
• bld31

Note that ex-directory lists are not shown.