TBA…

## Li & Yau estimates for some semilinear heat equations – Carlo Mantegazza (Università di Napoli)

We will show some Li & Yau–type gradient estimates for positive solutions of the semilinear heat equations $u_t =\Delta u + u^p$ with p>1, on a complete n–dimensional Riemannian manifold (M,g) with nonnegative Ricci tensor. We then discuss some…

## Free groups and Stallings’ folding – Dario Ascari (Oxford University)

L’operazione di folding sui grafi, introdotta da Stallings, è uno strumento fondamentale nello studio di varie proprietà dei gruppi liberi.…

## Statistical properties of hyperbolic billiards – Carlangelo Liverani (Università di Roma Tor Vergata)

I will discuss some recent and less recent results concerning the statistical properties of hyperbolic billiards, with particular emphasis on…

## Mirror symmetry for generalized Kummer varieties – Justin Sawon (University of North Carolina at Chapel Hill, USA)

The generalized Kummer variety $K_n$ of an abelian surface $A$ is the fibre of the natural map $\mathsf{Hilb}^{n+1}A\to \mathsf{Sym}^{n+1}A\to A$. Debarre described a Lagrangian fibration on $K_n$ whose fibres are the kernels of \$\mathsf{Jac}C\to…

## Chaos maps and study of the Geminids meteor shower – Ariane Courtot (Observatoire de Paris)

Meteor showers originate from a parent body, an asteroid or a comet. This parent body ejects several meteroids, forming a meteoroid stream, which will then meet the Earth. From Earth, several meteors can then be observed. To prove they form a shower, we then need to prove whether they come from the same source.…

## Geometry of vertex operator algebras on moduli of curves – Nicola Tarasca (Virginia Commonwealth University)

The physically-inspired theory of conformal blocks allows one to construct vector bundles on moduli spaces of curves with remarkable geometric and combinatorial properties. This theory uses as input the representations of some non-commutative…

## Non-uniqueness of Leray solutions of the forced Navier-Stokes equations – Elia Bruè (Institute for Advanced Study (Princeton))

In his seminal work, Leray demonstrated the existence of global weak solutions, with nonincreasing energy, to the Navier-Stokes equations in three dimensions. In this talk, we exhibit two distinct Leray solutions with zero initial velocity and…

## Existence Proofs for Pseudomonotone Parabolic Problems – Michael Růžička (Department of Applied Mathematics, University of Freiburg)

In the talk we discuss several existence proofs for nonlinear parabolic problems which contain a pseudomonotone operator. A new notion of Bochner pseudomonotonicity is introduced and applied. We show that this technique also allows for convergence…

## Constructing homogeneous Einstein metrics – Diego Conti (Università degli Studi di Milano-Bicocca)

A pseudo-Riemannian metric is said to be Einstein if its Ricci tensor is a constant multiple of the metric. Bi-invariant metrics on simple Lie groups are examples; more generally, there are several known constructions to obtain homogeneous Einstein metrics, i.e. invariant under the transitive action of a group.…

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