We will give a proof of an unpublished theorem by Hugh Woodin, which states that if there is a proper class of strong cardinals, then by Lévy collapsing the universe we can find a model of ZFC which is projective absolute under set forcing. This,…
Eventi
Periods of Mixed Hodge Structures associated to algebraic cycles – Souvik Goswami (University of Barcelona)
Given a pair of algebraic cycles which are homologous to zero, and are in complimentary codimensions, R.Hain, S.Bloch, et.al., in the 1990s established a mixed Hodge structure associated to the pair. A period of this mixed Hodge structure is a real…
Caratterizzazione strutturale dell’acqua liquida: un approccio computazionale basato sulla teoria dei grafi (Pisan Young Seminars in Applied and NUmerical Mathematics) – Chiara Faccio (Scuola Normale Superiore)
L’acqua liquida, oltre ad essere fondamentale per la vita sulla Terra, ha da lungo tempo affascinato gli scienziati a causa…
Around the Danzer Problem and the construction of dense forests – Faustin Adiceam (Université Paris-Est Créteil)
A 1965 problem due to Danzer asks whether there exists a set with finite density in Euclidean space (i.e. « not containing too many points ») intersecting any convex body of volume one. A suitable weakening of the volume constraint leads one to the…
Well-posedness and stationary states for a crowded active Brownian system with size-exclusion – Simon Michael Schulz (Scuola Normale Superiore)
We prove the existence of solutions to a non-linear, non-local, degenerate equation which was previously derived as the formal hydrodynamic limit of an active Brownian particle system, where the particles are endowed with a position and an…
Colloquium: Dynamics of complex Hénon maps – Tien-Cuong Dinh (National University of Singapore)
Hénon maps were introduced by Michel Hénon as a simplified model of the Poincaré section of the Lorenz model. They…
The Giroux correspondence via convex surfaces – Vera Vertési (Universität Wien)
The “hard direction” of the Giroux correspondence states that any two open books representing the same contact structure are related…
Non-local functionals converging to Sobolev and BV norms – Nicola Picenni (Scuola Normale Superiore di Pisa)
During the last twenty years, inspired by the famous “BBM formula”, many non-local characterizations of Sobolev and BV spaces have…
Pretalk: Contact structures and open books – Filippo Bianchi (Università di Pisa)
This will be a very rough introduction to contact structures and open book decompositions, with the main definitions and some…
How to make log structures – Alessio Corti (Imperial College London)
I give a canonical construction of the sheaf of log structures on a generic toroidal crossing space that makes it possible to make (singular) log structures explicitly and efficiently. I will sketch future applications to smoothing of toric Fano…