Schedule

The conference will begin on Monday morning, the first talk being at 9:30; the last talk will ideally finish at 17:30 on Friday. There will be a free afternoon on Wednesday and a conference dinner on Thursday evening. All talks will be in the University Hall.

Time Monday Tuesday Wednesday Thursday Friday
09:00 Welcome
09:30 Gibney Gibney Gibney Gibney Bayer
10:30 Coffee break
11:00 Martinelli Anthes GAeL XXVI Grab Feyzbakhsh
11:30 Bayer Bayer Bayer Sarti Sarti
13:00 Lunch and free discussion
15:30 Sarti Sarti Free Afternoon Benedetti Zelaci
16:00 Lai Cattaneo
16:30 Break Break
17:00 - 17:30 Nickel Jackson Stegmann Lyu
Evening Poster
Session
Conference
Dinner
All participants will have an opportunity to present their mathematical results or interests, with a poster or a talk: all funded participant are expected to contribute with either one or the other. The poster session will be held on Monday evening, after the last talk; we would like to keep the posters on display all week, in the lecture theatre foyer: due to space constraints, please do not print posters larger than A1 size.

If you would like to print your poster at the university, please email print@bath.ac.uk with a PDF of your poster attached and as many details as possible included, such as size, paper quality, colour etc. See Print Services for prices and more details. Note that 24 hours notice is required so we recommend emailing Print Services not later than Thursday 22nd June.

The three minicourses will have the following topics, and the schedule can be found here.

Arend Bayer (University of Edinburgh)

Stability conditions and classical algebraic geometry

Angela Gibney (University of Georgia)

Vector bundles of conformal blocks on the moduli space of curves
The moduli space of stable n-pointed curves of genus g has played an important role in the literature: as a means of learning about smooth curves and their degenerations, as a model for moduli spaces generally, and as a test variety for developing theories in algebraic geometry. Conformal blocks are invariants of a curve attached to a Lie group. In particular, vector spaces of conformal blocks for G at any stable curve C can be identified with global sections of an ample line bundle on the moduli stack of G-bundles on C. These vector spaces fit together to form vector bundles, and we can use these bundles as a tool to study the moduli space of curves In my talks I will speak about aspects of vector bundles of conformal blocks and the moduli space of curves. During the first lecture I'll introduce the moduli space of curves and illustrate our interest in these bundles on the moduli space through a specific problem. In the second lecture I'll define the bundles. Then the last two lectures I would spend on results. Lecture 3 will focus on geometric interpretations of the fibers of the bundles, and Lecture 4 about Chern classes of the bundles. I plan to present a number of open problems and conjectures throughout.

Alessandra Sarti (Université de Poitiers)

Automorphisms of irreducible holomorphic symplectic (IHS) manifold
The aim of the lectures is to introduce IHS manifolds and their basic properties, and then to study their automorphisms. I will in particular consider Hilbert schemes of points on K3 surfaces and I will show how lattice theory is a powerful tool to classify automorphisms. I will also discuss some special cases in details, as IHS manifolds of small Picard number and Fano varieties of lines on cubic fourfolds.