[Dottorcomp] Seminari di Algebra e Geometria - mercoledì 6 marzo 2024

[Lidia Stoppino]

Il giorno mercoledì 6 marzo 2024
il Prof. Fabio Cavalletti (Università degli Studi di Milano)
alle 16,30 
in aula Beltrami

terrà un seminario dal titolo:

Optimal Transport between algebraic hypersurfaces. 

Abstract: What is the optimal way to deform a projective hypersurface into another one? 
We will answer this question adopting the point of view of measure theory, introducing the optimal transport problem between complex algebraic projective hypersurfaces.
First, a natural topological embedding of the space of hypersurfaces of a given degree into the space of measures on the projective space is constructed. 
Then, the optimal transport problem between hypersurfaces is defined through a constrained dynamical formulation, minimizing the energy of absolutely continuous curves which lie on the image of this embedding. In this way an inner Wasserstein distance on the projective space of homogeneous polynomials is introduced.
We will show the main properties of this distance and  discuss applications on the regularity of the zeroes of a family of multivariate polynomials and on the condition number of polynomial systems solving.


Tutti gli interessati sono nvitati a venire, e chi vuile pertecipare alla *cena* mandi tempestivamente una mail a alessandro.ghigi a unipv.it
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Lidia Stoppino
Dipartimento di Matematica
Università di Pavia
Via Ferrata 5
27100 Pavia
Ufficio C.07 (primo piano)
Tel. +39 0382 985624
e-mail: lidia.stoppino a unipv.it 
pagina web: http://www.stoppino.it