Please note that the list below only shows forthcoming events, which may not include regular events that have not yet been entered for the forthcoming term. Please see the past events page for a list of all seminar series that the department has on offer.

Past events in this series

Mon, 23 May 2022
14:15
L5

### Ancient solutions and translators in Lagrangian mean curvature flow

Felix Schulze
(University of Warwick)
Abstract

For almost calibrated Lagrangian mean curvature flow it is known that all singularities are of Type II. To understand the finer structure of the singularities forming, it is thus necessary to understand the structure of general ancient solutions arising as potential limit flows at such singularities. We will discuss recent progress showing that ancient solutions with a blow-down a pair of static planes meeting along a 1-dimensional line are translators. This is joint work with J. Lotay and G. Szekelyhidi.

Mon, 30 May 2022
14:15
L5

### TBA

Ana Peón-Nieto
(University of Birmingham)
Abstract

TBA.

Mon, 06 Jun 2022
14:15
L5

### Symplectic cohomology of compound Du Val singularities

Jonny Evans
(University of Lancaster)
Abstract

(Joint with Y. Lekili) If someone gives you a variety with a singular point, you can try and get some understanding of what the singularity looks like by taking its “link”, that is you take the boundary of a neighbourhood of the singular point. For example, the link of the complex plane curve with a cusp $y^2 = x^3$ is a trefoil knot in the 3-sphere. I want to talk about the links of a class of 3-fold singularities which come up in Mori theory: the compound Du Val (cDV) singularities. These links are 5-dimensional manifolds. It turns out that many cDV singularities have the same 5-manifold as their link, and to tell them apart you need to keep track of some extra structure (a contact structure). We use symplectic cohomology to distinguish the contact structures on many of these links.

Mon, 13 Jun 2022
14:15
L5

Mark Gross
(Cambridge)
Tue, 14 Jun 2022
15:30
Virtual

### TBA

Simon Donaldson
(Imperial College London and SCGP)
Further Information

The talk will be both online (Teams) and in person (L5)