Sala Seminari (Dip. Matematica)

A new gluing phenomenon for metrics of prescribed Q-curvature in dimension 6

Relatore: 
Luca Martinazzi
Abstract. Contrary to the Yamabe case, metric of prescribed Q-curvature (which we will briefly discuss) in dimension 4 and higher, can blow-up both on isolated points and on higher dimensional submanifolds, as discovered by Adimurthi, F. Robert and M. Struwe. We will show, in a radially symmetric situation, that both kind of blow-up behaviour can happen at the same time. This is based on a joint work with A. Hyder.
Data Seminario: 
Wednesday, May 23, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:00
Affiliazione: 
University of Basel
Ora Inizio: 
Saturday, January 1, 0000 - 17:00

Complex projective structures and Hilbert's XXI problem

Relatore: 
Lorenzo Ruffoni

 Abstract: Complex projective structures are geometric structures locally modelled on the geometry of the Riemann sphere with its group of Möbius transformations PSL(2,C). As this space appears as a natural boundary at infinity for the hyperbolic space, a typical feature of these structures is the interplay between complex analysis and hyperbolic geometry, which gives rise to a rich deformation theory.

Data Seminario: 
Monday, May 14, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:00
Affiliazione: 
Università di Bologna
Ora Inizio: 
Saturday, January 1, 0000 - 16:30

Rappresentazioni di Galois triangoline e funtori di Schur

Tipo Seminario: 
Relatore: 
Andrea Conti

Abstract

Rappresentazioni di Galois triangoline e funtori di Schur

Data Seminario: 
Friday, May 18, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:00
Affiliazione: 
IWR (International Center for Scientific Computing), Universität Heidelberg
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

Be hyperbolic! Be pure!

Relatore: 
Gianluca Faraco

Abstract: In this talk we will talk about the relationship between hyperbolic cone-structures and their holonomy representations. Any hyperbolic structure on a given closed compact and orientable surface S induces in a very natural way a representation of the fundamental group \pi_1(S) in the Lie group PSL(2,R), which encodes geometric data about the structure. The reverse problem to recover a hyperbolic cone-structure from a given representation is more arduous and longer. Even worse it is not always possible.

Data Seminario: 
Monday, May 7, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:00
Affiliazione: 
Università di Bologna
Ora Inizio: 
Saturday, January 1, 0000 - 16:30

Dispersive estimates for the wave equation outside strictly convex obstacles

Relatore: 
Oana Ivanovici

We consider the linear wave equation outside a compact, strictly convex obstacle in R3with smooth boundary and we show that the linear wave flow satisfies the dispersive estimates as in R3 (which is not necessarily the case in higher dimensions). This is joint work with Gilles Lebeau.

Data Seminario: 
Thursday, April 26, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:00
Affiliazione: 
Universita' di Nizza
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

Rigidity of real hyperbolic lattices: a "natural" approach

Relatore: 
Alessio Savini

Abstract: Rigidity of lattices in semisimple Lie groups has been widely studied so far. One of the most celebrated theorem is Mostow rigidity, which states the following. Assume n bigger or equal than 3. If two complete hyperbolic n-manifolds of finite volume have isomorphic fundamental groups then they are isometric. Equivalently their fundamental groups are conjugated in the group of isometries of the hyperbolic n-space. There are several ways to prove this theorem.

Data Seminario: 
Monday, April 30, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:00
Affiliazione: 
ETH, Zürich - Università di Bologna
Ora Inizio: 
Saturday, January 1, 0000 - 16:30

Moduli of Weierstrass fibrations.

Relatore: 
Giovanni Inchiostro

We study the the moduli space of KSBA stable pairs (X,sS+\sum a_i F_i), consisting of a Weierstrass fibration X, its section S, and some fibers F_i. We find a compactification which is a DM stack, and we prove that there are wall-crossing morphisms when the weights s and a_i change. This recovers the work of Ascher and Bejleri in the case in which s=1 and the one of La Nave when s=1 and a_i=0. 

Data Seminario: 
Thursday, May 31, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 17:00
Affiliazione: 
Brown University
Ora Inizio: 
Saturday, January 1, 0000 - 16:00

Relative quasimaps and quasimap quantum Lefschetz

Relatore: 
Luca Battistella

Quasimaps provide a compactification of the space of maps from smooth curves to a GIT quotient; Ciocan-Fontanine and Kim used them to prove beautiful wall-crossing formulae, comparing the resulting invariants with ordinary Gromov-Witten ones. In joint work with Navid Nabijou, we introduce the notion of genus zero relative quasimaps to a toric target X with respect to a smooth (but not necessarily toric) hyperplane section Y, extending work of Gathmann to this setting.

Data Seminario: 
Thursday, May 31, 2018
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:00
Affiliazione: 
Imperial college, London
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

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