There are various seminars running during the semester:

The topology and the cosmology-relativity-gravitation seminars may also be of interest, as well as the complete lists of seminars hosted at the School of Mathematics and Statistics this week and this semester.

Previous seminars of our group are collected here.


Online seminars 2019/20, semester 2

Travis Mandel (Edinburgh)
Tropical multiplicities from polyvector fields and QFT

Abstract: When considering planar tropical curves satisfying point conditions, Mikhalkin expressed the tropical curves' multiplicities as the product of the multiplicities of their vertices. Such a...Read more

Piotr Sulkowski (Warsaw)

Michel van Garrel (Warwick)
Prelog Chow rings and stable irrationality in semistable degenerations

Abstract: Stably rational varieties admit decompositions of the diagonal following Colliot-Thélène. This criterion for stable irrationality was made applicable in (usually fairly mild) degenerations by work of Voisin and others....Read more

Giordano Cotti (Birmingham)
Quantum differential equations and helices.

Abstract: Quantum differential equations (qDEs) are a rich object attached to complex smooth projective varieties. They encode information on their enumerative geometry, topology and (conjecturally) on their algebraic geometry...Read more

Seminars 2019/20, previous seminars

Francesco Sala (IPMU Tokyo)
Categorification of 2d cohomological Hall algebras

Abstract: Let M denote the moduli stack of either coherent sheaves on a smooth projective surface or Higgs sheaves on a smooth projective... Read more

Paul Johnson (Sheffield)
Partitions and Hilbert schemes of points

Abstract: This will be a gentle, expository talk explaining some connections between the two objects in the title. I will begin with... Read more

Dhruv Ranganathan (Cambridge)
A Mayer-Vietoris theorem for Gromov-Witten theory

Abstract: The Gromov-Witten theory of a smooth variety X is a collection of invariants, extracted from the topology of the space of ... Read more

Jenny August (MPIM Bonn)
The Stability Manifold of a Contraction Algebra

Abstract: For a finite dimensional algebra, Bridgeland stability conditions can be viewed as a continuous generalisation of tilting theory, providing... Read more

Pierrick Bousseau (ETH)
Quasimodular forms from Betti numbers

Abstract: I will explain how to construct quasimodular forms starting from Betti numbers of moduli spaces of dimension 1 coherent sheaves on P2. This gives a proof of some stringy predictions about the refined topological string theory of local P2 in the Nekrasov-Shatashvili limit. Partly based on work in progress with Honglu Fan, Shuai Guo, and Longting Wu.

Nick Sheridan (Edinburgh)
The Gamma and SYZ conjectures: a tropical approach to periods

Abstract: I'll start by explaining a new method of computing asymptotics of period integrals using tropical geometry, via some... Read more

Noah Arbesfeld (Imperial College London)
K-theoretic Donaldson-Thomas theory and the Hilbert scheme of points on a surface

Abstract: Tautological bundles on Hilbert schemes of points often enter into enumerative and physical computations. I'll explain how to use the Donaldson-Thomas theory of ... Read more

Ben Davison (Edinburgh)
Strong positivity for quantum cluster algebras

Abstract: I will discuss the positivity for quantum theta functions, a result of joint work with Travis Mandel. For... Read more

Soheyla Feyzbakhsh (Imperial College London)
Stability conditions on the derived category of coherent systems and Brill-Noether theory

Abstract: A classical method to study Brill-Noether locus of higher rank semistable vector bundles on curves is to examine the stability of coherent systems. To have an abelian category we enlarge the... Read more

Dimitri Wyss (École Polytechnique Fédérale de Lausanne)
Non-archimedean and motivic integrals on the Hitchin fibration

Abstract: Based on mirror symmetry considerations, Hausel and Thaddeus conjectured an equality between ‘stringy’ Hodge numbers for... Read more

Sira Gratz (Glasgow)
Higher SL(k)-friezes

Abstract: Classical frieze patterns are combinatorial structures which relate back to Gauss’ Pentagramma Mirificum, and have been extensively studied by Conway and Coxeter in the 1970’s.... Read more

Adeel Khan (Regensburg)
Intersection theory of derived stacks

Abstract: I will discuss how various formalisms of intersection theory (Chow groups, K-theory, cobordism) can be extended to the setting of derived schemes and stacks. This gives a new approach to virtual phenomena such as the virtual fundamental class and virtual Riemann-Roch formulas.

Alexandr Buryak (Leeds)
Generalization of the Givental theory for the open WDVV equations

Abstract: The WDVV equations, also called the associativity equations, is a system of non-linear partial differential equations for one function that describes the local structure of a Frobenius manifold. In enumerative geometry the WDVV equations... Read more

Helge Ruddat (Mainz)
Smoothing toroidal crossing varieties

Abstract: Friedman and Kawamata-Namikawa studied smoothability of normal crossing varieties. I present the proof of a significantly...Read more

William Mistegaard (IST Austria)
Quantum modularity

Abstract: Lawrence and Zagier have shown that for a Brieskorn homology sphere there exists a power series with...Read more

Etienne Mann (Angers)

Past seminars

Algebraic Geometry seminars: 2018/19, 2017/18, 2016/17, 2014-16

Learning seminars