Introduced around 2000, Khovanov homology marked the start of a new field of study in knot theory. It was born as a “categorification” (or generalisation) of the Jones polynomial, a classical link invariant, but it proved to be more than just that…
Eventi
ProSTEAM Pisa Meeting
The homology cobordism group – Oğuz Şavk (Stanford University / Boğaziçi University)
Since the 1980s, the homology cobordism group has been a
central object in the development of low-dimensional topology. …
Generic properties of billiards on bodies – João Lopes Dias (ISEG, University of Lisbon)
We will talk about generic properties of multidimensional billiards. In particular, we will discuss the proof of the existence of a C2 dense set of convex bodies whose billiard maps have positive topological entropy. …
Critical points at prescribed energy levels – Gaetano Siciliano (Univ. San Paulo, Brazil)
In this talk, we discuss the existence of critical points for a family of abstract and smooth functionals on Banach spaces under the energy constraint. By using the Ljusternick-Schnirelmann theory and the fibering method of Pohozaev we show, under…
Flag spheres and $\gamma$-positivity – Lorenzo Venturello (Università di Pisa)
The $f$-vector of a simplicial complex is the vector whose entries record the number of faces in each dimension. It is typically convenient to study an integer linear transformation of the $f$-vector, called the $h$-vector, which naturally appears…
Teoria dei modelli della doppia appartenenza – Rosario Mennuni
È facile mostrare che il “grafo di appartenenza” di ogni modello numerabile della teoria degli insiemi, ottenuto collegando x e y se x appartiene a y *oppure* y appartiene a x, è isomorfo al Grafo Random (o Grafo di Rado). Questo è vero per teorie…
Hecke correspondences and Lagrangian fibrations – Sam DeHority (Columbia University)
I will discuss a method to associate new algebraic structures with deformations to certain holomorphic Lagrangian fibrations, and describe their relation with other parts of mathematical physics. This algebraic structure controls the enumerative…
The geometry of the Word Problem – Jeronimo Garcia Mejia (KIT Karlsruher Institut für Technologie)
We will review a classical problem in group theory, the so-called Word Problem, from a geometric perspective by relating it to an even older geometric problem, the Isoperimetric Problem. The main actor being Dehn functions. …