### Degenerations of Hilbert schemes and relative VGIT – Lars Halvard Halle (Università di Bologna)

Let G be a reductive group acting on a projective variety X. In Mumford's Geometric Invariant Theory (GIT), the formation of a quotient in this situation depends on the choice of a G-linearized ample line bundle on X. In "Variation of GIT" (VGIT),…

### Upper bound on the regularity of Lyapunov exponents of random product of matrices – Jamerson Bezerra (Nicolaus Copernicus University)

The study of the regularity of the Lyapunov exponent of random products of SL2(R) matrices is a rich subject with many important contributions in the past years. It is well established in the literature that the function which associates each finite…

### Linear programming for hyperbolic surfaces – Bram Petri (IMJ-PRG Sorbonne University)

I will speak about extremal problems in the (spectral) geometry of hyperbolic surfaces and how linear programming methods based on…

### A Feferman Vaught theorem for products of commutative unital rings – Paola D’Aquino (Università degli studi della Campania “Luigi Vanvitelli”)

We axiomatize the class of commutative unital rings which are elementarily equivalent to a non trivial product of commutative unital connected rings, obtaining in this way a converse of the classical result of Feferman and Vaught for the class of…

### Sobolev embedding and distance functions – Francesca Prinari (Università di Pisa)

On a general open set of the euclidean space, we study the relation between the embedding of the homogeneous Sobolev…

### The Bourgain Subset of Baire-1 Functions and Descriptive Set Theory – Jeremy Mirmina (Università di Pisa)

First session of Map Seminar devoted to PhD students and Master students.…