Sala Seminari (Dip. Matematica)

Decomposition of graded local cohomology tables

Tipo Seminario: 
Relatore: 
Alessandro De Stefani

Abstract: In this talk, we will describe the structure of the cone of local cohomology tables of graded modules over a polynomial ring in the following two cases:

  1. Modules of dimension at most two (joint work with I. Smirnov)
  2. Sequentially Cohen-Macaulay modules (ongoing work with G. Caviglia)

Time permetting, we will discuss some future directions of investigation.

Data Seminario: 
Tuesday, May 14, 2019
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 16:00
Affiliazione: 
Universita' di Genova
Ora Inizio: 
Saturday, January 1, 0000 - 15:00

Some relations between curvature and topology via distance functions

Relatore: 
Francesca Oronzio

The aim of the talk is to present new proofs of the Cartan-Hadamard and Bonnet-Myers theorems based on the analysis of the distance functions on Riemannian manifolds, following a proposal of P. Petersen. Such proofs are alternative to the classical ones and more geometric in the spirit.

Data Seminario: 
Thursday, April 18, 2019
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 17:00
Affiliazione: 
Università di Napoli Federico II
Ora Inizio: 
Saturday, January 1, 0000 - 16:00

Spherical rigidity of pinched ancient flows of hypersurfaces

Relatore: 
Susanna Risa

A solution of a parabolic differential equation is ancient if
it is defined for all negative times. They model the asymptotic shape of
a compact submanifold evolving by a function of the extrinsic curvature
as tangent flows if the second fundamental form blows up at a spherical
scale. In 2014, Huisken and Sinestrari have shown that a uniform
pinching condition on the curvature of a convex compact ancient solution
of Mean Curvature Flow is sufficient to ensure it is a sphere shrinking

Data Seminario: 
Thursday, April 11, 2019
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 17:00
Affiliazione: 
Università di Roma Tor Vergata
Ora Inizio: 
Saturday, January 1, 0000 - 16:00

TBA

Relatore: 
Simone Paleari
Data Seminario: 
Wednesday, May 8, 2019
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 17:00
Affiliazione: 
Università degli Studi di Milano
Ora Inizio: 
Saturday, January 1, 0000 - 16:00

TBA

Relatore: 
Mark Holland
Data Seminario: 
Wednesday, May 8, 2019
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 15:30
Affiliazione: 
University of Exeter
Ora Inizio: 
Saturday, January 1, 0000 - 14:30

Structures, Gramians, and Krylov

Relatore: 
Raf Vandebril

Krylov methods are typically used for transforming large scale prolems and matrices to
matrices of a manageable size. Krylov inspired algorithms are based on the principle: project -
solve - lift.  In this talk we will focus on the projection step, the orthogonal bases involved, and the structured of the resulting projection.

Data Seminario: 
Monday, April 8, 2019
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 15:00
Affiliazione: 
Department of Computer Science, KU Leuven
Ora Inizio: 
Saturday, January 1, 0000 - 14:00

Semilinear eigenvalue problems for the Dirichlet Laplacian

Relatore: 
Giovanni Franzina
Abstract. The talk overviews the qualitative properties of critical points and critical values of Dirichlet integrals on open sets of $\mathbb R^N$, with homogeneous Dirichlet boundary conditions, subject to $L^q$ constraints with $q$ ranging between $1$ and the Sobolev exponent $2N/(N-2)$. The associated eigenvalue-type problem is mildly non-local, except in the case of Helmoltz equation ($q=2$). We discuss to which extent properties typical of the linear eigenvalues, such as
Data Seminario: 
Wednesday, April 10, 2019
Aula: 
Sala Seminari (Dip. Matematica)
Ora Fine: 
Saturday, January 1, 0000 - 18:00
Affiliazione: 
Universita' di Firenze
Ora Inizio: 
Saturday, January 1, 0000 - 17:00

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