Colloquia di dipartimento

 

Martedì 29 ottobre 2019
Ore 16:30 - 17:30

Jean-Benoît Bost, Université Paris-Sud Orsay

Theta invariants of Euclidean lattices

Euclidean lattices have been studied for a long time, because of their role in crystallography and in arithmetics. More recently, they have also been studied in computer science, because of their application to cryptography. During the last decades, new invariants of Euclidean lattices defined in terms of the associated theta series have become increasingly important to investigate them from these diverse perspectives. In this talk, I will give a gentle introduction to the theory of Euclidean lattices, and try to explain the significance of their theta invariants from various points of view.
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Colloquia di dipartimento 2018-2019
 

Martedì 25 giugno 2019
Ore 16:30 - 17:30

Tristan Rivière, ETH Zürich

Looking at 2 spheres in R3 with a Morse theoretic perspective

The so called Willmore Lagrangian is a functional that shows up in many areas of sciences such as conformal geometry, general relativity, cell biology, optics... We will try first to shed some lights on the universality of this Lagrangian. We shall then present the project of using the Willmore energy as a Morse function for studying the fascinating space of immersed 2-spheres in the euclidian 3 space and relate topological obstructions in this space to integer values and minimal surfaces.
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Lunedì 6 maggio 2019
Ore 16:30 - 17:30

Caucher Birkar, University of Cambridge

Birational geometry of algebraic varieties

Birational geometry has seen tremendous advances in the last two decades. This talk is a gentle introduction to some of the main concepts and recent advances in the field.
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Martedì 11 Dicembre 2018
Ore 16:30 - 17:30

Christian Lubich, Universität Tübingen  

Dynamics, numerical analysis and some geometry

Geometric aspects play an important role in the construction and analysis of structure-preserving numerical methods for a wide variety of ordinary and partial differential equations. Here we review the development and theory of symplectic integrators for Hamiltonian ordinary and partial differential equations, of dynamical low-rank approximation of time-dependent large matrices and tensors, and its use in numerical integrators for Hamiltonian tensor network approximations in quantum dynamics.
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