Sala Seminari (Dip. Matematica)

Kodaira fibrations with small signature

Relatore: 
Sonke Rollenske

ABSTRACT Kodaira fibrations are surfaces of general type with a non-isotrivial fibration, 
which are differentiable fibre bundles.  First examples were constructed by 
Kodaira and Atiyah to show that the signature need not be multiplicative in 
fibre bundles. 
We review approaches to construct such surfaces with focus on controlling the 
signature. From this we obtain new examples with signature 16. (Joint work 
with Ju A Lee and  Michael Lönne)
 

Data Seminario: 
Thursday, June 29, 2017
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 15:00
Affiliazione: 
University Marburg
Ora Inizio: 
Saturday, January 1, 0000 - 14:00

Kodaira fibrations with small signature

Tipo Seminario: 
Relatore: 
Sönke Rollenske

ABSTRACT:

 Kodaira fibrations are surfaces of general type with a non-isotrivial fibration, 
which are differentiable fibre bundles.  First examples were constructed by 
Kodaira and Atiyah to show that the signature need not be multiplicative in 
fibre bundles. 
We review approaches to construct such surfaces with focus on controlling the 
signature. From this we obtain new examples with signature 16. (Joint work 
with Ju A Lee and  Michael Lönne)

Data Seminario: 
Thursday, June 29, 2017
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 15:00
Affiliazione: 
Univ. Marburg (Germania)
Ora Inizio: 
Saturday, January 1, 0000 - 14:00

Uniqueness and persistence of minimal Lagrangian submanifolds

Relatore: 
Tommaso Pacini

I will discuss the "hows and whys" of the following recent results (joint
with J.Lotay, UCL):
1) in a negative Kaehler–Einstein manifold M, compact minimal Lagrangian
submanifolds L are locally unique;
2) for any small Kaehler–Einstein perturbation of M there corresponds a
deformation of L which is minimal Lagrangian with respect to the new
structure.

These results are also available on arXiv:1704.08226
<https://arxiv.org/abs/1704.08226>

Data Seminario: 
Monday, May 22, 2017
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 17:30
Affiliazione: 
Università di Torino
Ora Inizio: 
Saturday, January 1, 0000 - 16:30

On the spectrum of minimal submanifolds in space forms

Relatore: 
Luciano Mari

Let $\varphi : M^m \to N^n$ be an immersed minimal submanifold in
Euclidean or hyperbolic space. In this talk, I survey on some recent
results obtained in collaboration with various colleagues from Brazil, to
ensure that the Laplace-Beltrami operator of $M$ has purely discrete
(respectively, purely essential) spectrum. In the last case, we also give
an explicit description of the spectrum. Our criteria apply to many
examples of minimal submanifolds constructed in the literature, and answer

Data Seminario: 
Thursday, May 18, 2017
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:00
Affiliazione: 
Scuola Normale Superiore
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

Constantin and Iyer's representation formula for the Navier--Stokes equations on manifolds

Relatore: 
Dejun Luo

In this talk, we will present a probabilistic representation
formula for the Navier-Stokes equations on compact Riemannian manifolds.
Such a formula has been provided by Constantin and Iyer in the flat
case. On a Riemannian manifold, there are several different choices of
Laplacian operators acting on vector fields. We shall use the de
Rham-Hodge Laplacian operator which seems more relevant to the
probabilistic setting, and adopt Elworthy-Le Jan-Li's idea to decompose
it as a sum of the square of Lie derivatives. This is a joint work with

Data Seminario: 
Tuesday, May 16, 2017
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 11:15
Affiliazione: 
Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing
Ora Inizio: 
Saturday, January 1, 0000 - 10:15

La teoria di Hodge dell'algebra di Hecke e in teoria delle rappresentazioni

Relatore: 
Leonardo Patimo

Le congetture di Kazhdan-Lusztig forniscono una formula esplicita per
calcolare il carattere delle rappresentazioni con peso più alto di
un'algebra di Lie semisemplice complessa.

La dimostrazione originale di queste congetture si basa su risultati
geometrici molto profondi, fra tutti il teorema di decomposizione e la
teoria di Hodge.

Data Seminario: 
Thursday, May 18, 2017
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:00
Affiliazione: 
Max Planck Institute for Mathematics, Bonn
Ora Inizio: 
Saturday, January 1, 0000 - 16:00

Elliptic diffeomorphisms of symplectic 4-manifolds

Tipo Seminario: 
Relatore: 
Gleb Smirnov

In his PhD thesis, Paul Seidel found examples of symplectomorphisms which are smoothly isotopic to the identity, but not isotopic to the identity within the symplectomorphism group.

Data Seminario: 
Wednesday, May 24, 2017
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 15:00
Affiliazione: 
International School for Advanced Studies (Trieste, Italy)
Ora Inizio: 
Saturday, January 1, 0000 - 14:00

An exact self-similar solution to a branched transport problem

Relatore: 
Michael Goldman
Abstract. In this talk I will show how one can exactly compute the minimizer of a variant of branched transportation arising as a simplified model for pattern formation in type-I superconductors. The proof relies on the natural scaling properties of the problem. A 3D version of this model has recently been derived from the full Ginzburg-Landau model together with S. Conti, S. Serfaty and F. Otto.
Data Seminario: 
Wednesday, May 31, 2017
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 17:00
Affiliazione: 
CNRS, Laboratoire Jacques-Louis Lions
Ora Inizio: 
Saturday, January 1, 0000 - 16:00

A variational approach to nonlocal curvature motions and to the crystalline mean curvature flow

Relatore: 
Massimiliano Morini
Abstract. In the first part of the talk I will present a comprehensive theory that covers in a unified way a rather large class of (possibly) nonlocal geometric flows bearing a gradient flow structure with respect to suitable generalized perimeters. Within this framework one can establish new existence and uniqueness results as well as recover several examples scattered in the literature. In the second part I will discuss a new distributional formulation that allows one to treat the highly "degenerate" case of crystalline
Data Seminario: 
Wednesday, May 17, 2017
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 17:00
Affiliazione: 
Universita' di Parma
Ora Inizio: 
Saturday, January 1, 0000 - 16:00

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