Colloquia di dipartimento

 

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.


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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