Modularity and three manifolds – Campbell Wheeler (MPIM Bonn)
Quantum invariants of three manifolds were discoveredand defined in the early 1990s by Witten-Reshetikhin-Turaev. Thephysical approach to these invariants suggested…
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…
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),…
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…