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Next Meeting

Virtual COW on Thursday 13th May 2021

The next meeting of the COW will take place online on Thursday 13th May 2021. The meeting will begin at 1pm (UK time, BST, UTC+1:00) and run throughout the afternoon.

Talks will be broadcast using Zoom. Information about how to join the Zoom call will be circulated to the COW mailing list the day before the meeting. If you would like to join the COW mailing list, instructions on how to do so may be found on the mailing lists page. If you would like to attend the meeting but do not want to join the mailing list, please send an email to Alan Thompson (A.M.Thompson (at) lboro.ac.uk) requesting the Zoom information.

Schedule

Time Speaker Title
1:00pm Marcello Bernardara Fano of K3 Type: Isomorphisms and Classification of Hodge Structures and K3 Categories
2:30pm Fatemeh Rezaee Wall-Crossing for Genus Four Curves: from the Empty Set to the Large Volume Limit
4:00pm Chenyang Xu Moduli spaces of Fano Varieties

Abstracts

Marcello Bernardara (Toulouse) - Fano of K3 Type: Isomorphisms and Classification of Hodge Structures and K3 Categories
Fano Varieites of (derived) K3 type are Fano varieties whose Hodge structure (derived category) contains a K3-type subHodge structure (subcategory). Many examples of such varieties are known, arising as zeroes of homogeneous bundles on Grassmannians, in dimensions that grow up to 19. In this talk, I will first present joint work with Fatighenti and Manivel showing that many of these examples can be related by geometric correspondences and have actually the same K3-type Hodge structure. I will also present an ongoing project with Fatighenti, Manivel and Tanturri, whose aim is to show that in the case of Fano fourfolds, the only possible K3-type structures which are not actual K3 can arise from Gushel-Mukai, Cubics and Küchle c5 fourfolds.
Fatemeh Rezaee (Loughborough) - Wall-Crossing for Genus Four Curves: from the Empty Set to the Large Volume Limit
I will describe some interesting moduli spaces associated with canonical genus four curves including a good compactification of (2,3)-complete intersections, moduli space of Pandharipande-Thomas stable pairs and finally the Hilbert scheme. I will start by giving a quick review of Bridgeland stability conditions.
Chenyang Xu (Princeton) - Moduli spaces of Fano Varieties
We will describe the purely algebraic construction of moduli spaces parametrizing Fano varieties with K-(semi,poly)stability, and its fundamental properties. As a by-product, it also completes the solution of Yau-Tian-Donaldson Conjecture to all Fano varieties case (including singular ones).

This page is maintained by Alan Thompson and was last updated on 28/04/21. Please email comments and corrections to A.M.Thompson (at) lboro.ac.uk.