Venue Sala Riunioni (Dip. Matematica). Abstract…
Eventi
Instanton-Symplectic homology and integral Dehn Surgery – Guillem Cazassus (Institut de Mathématiques de Toulouse)
Motivated by the Atiyah-Floer conjecture, Manolescu and Woodward defined an invariant for closed oriented 3-manifolds called “Instanton-Symplectic homology”. I will explain how they fit into the framework of a “Floer Field Theory” developped by…
Continuity of core entropy of quadratic polynomials – Giulio Tiozzo (Yale University)
The core entropy of polynomials, recently introduced by W. Thurston, is a dynamical invariant which can be defined purely in combinatorial terms, and provides a useful tool to study parameter spaces of polynomials. The theory of core entropy extends…
Infinitesimal Hilbert problem – Sergei Yakovenko (Weizmann Institute and Universita di Pisa)
The infinitesimal Hilbert problem addresses limit cycles of planar polynomial vector field, which appear by a small non-conservative perturbation of an integrable (Hamiltonian) system. Their number is closely related to the number of algebraic level…
Characterizations of sets of finite perimeter: old and recent results – Luigi Ambrosio (Scuola Normale Superiore)
In my lecture I will illustrate a recent work (in collaboration with J.Bourgain, H.Brezis, A.Figalli) on the characterization of the perimeter and of sets of finite perimeter in terms of a BMO-like seminorm, solving positively a question raised in a…
Elimination of cusps in dimension 4 and its applications – Stefan Behrens (Alfréd Rényi Institute, Budapest)
In recent years, low dimensional topologists have become interested in the study of “generic” smooth maps to surfaces. The approach is similar to Morse theory, only with two dimensional target. In this talk, I will discuss a specific problem in the…
Low density phases in a uniformly charged liquid – Matteo Novaga (Università di Pisa)
This talk is concerned with the macroscopic behavior of global energy minimizers in the three-dimensional sharp interface Ohta-Kawasaki model of diblock copolymer melts. We are interested in the large volume behavior of minimizers in the low volume…
A dynamical characterization of algebraicity for isomonodromic deformations. – Gael Cousin (Università di Pisa)
Our study concerns isomonodromic deformations of logarithmic connections of arbitrary rank on the Riemann sphere. We will explain how we can translate the algebraicity of the universal isomonodromic deformation in terms of the monodromy…
Plane cuspidal curves and Heegaard Floer homology – Marco Golla (Unversità di Pisa)
In this talk, I will focus on applications of Heegaard Floer homology to the study of genus-g plane curves in CP^2, with one cuspidal singularity: I will discuss bounds on the semigroup counting function of the singularity and show their…
On the Dolbeault cohomological dimension of the moduli space of Riemann surfaces – Gabriele Mondello (Università di Roma)
The moduli space $M_g$ of Riemann surfaces of genus g is (up to a finite étale cover) a complex manifold and so it makes sense to speak of its Dolbeault cohomological dimension (i.e. the highest k such that $H^{0,k}(M_g,E)$ does not vanish for some…