Dipartimento di Matematica -UTV-

Date	Type	Start	End	Room	Speaker	From	Title
09/06/23	Seminario	14:30	15:30	1201 Dal Passo	Rosanna LAKING	Università di Verona	Algebra & Representation Theory Seminar (ARTS) "Cosilting complexes and asymptotic triangulations of the annulus" N.B.: partially supported by the MIUR Excellence Department Project MatMod@TOV awarded to the Department of Mathematics, University of Rome "Tor Vergata" Abstract In 2014 Baur and Dupont introduced the notion of an asymptotic triangulation. This is a combinatorial object arising naturally from the combinatorics of cluster algebras of type Ã. They showed that the set of all asymptotic triangulations has an interesting combinatorial structure: it is a poset and the edges of the Hasse graph can be obtained by flipping the asymptotic arcs. In this talk I will explain how this set parametrises certain 2-term complexes in derived category of a finite-dimensional algebra called a cluster-tilted algebra of type Ã and that the flip operation corresponds to a mutation operation. This is joint work with L. Angeleri Hügel, K. Baur and F. Sentieri.
07/06/23	Seminario	16:00	17:00	1201 Dal Passo	Claudio Dappiaggi	Univerità di Pavia	Seminario di Algebre di Operatori Stochastic Partial Differential Equations and Renormalization à la Epstein-Glaser Abstract We present a novel framework for the study of a large class of nonlinear stochastic partial differential equations, which is inspired by the algebraic approach to quantum field theory. The main merit is that, by realizing random fields within a suitable algebra of functional-valued distributions, we are able to use specific techniques proper of microlocal analysis.These allow us to deal with renormalization using an Epstein-Glaser perspective, hence without resorting to any specific regularization scheme. As a concrete example we shall use this method to discuss the stochastic Phi^3_d model and we shall comment on its applicability to the stochastic nonlinear Schrödinger equation.
30/05/23	Seminario	14:30	15:30	1201 Dal Passo	Eleonora Cinti	Università di Bologna	Seminario di Equazioni Differenziali A regularity result for isoperimetric sets with density Abstract In this talk, I will present a recent regularity result for isoperimetric sets with densities, under mild Holder regularity assumptions on the density functions. Our main Theorem improves some previous results and allows to reach the regularity class C^{1,frac{alpha}{2-alpha}} in any dimension. This is a joint work with L. Beck and C. Seis. NB:This talk is part of the activity of the MIUR Excellence Department Project MATH@TOV CUP E83C23000330006
26/05/23	Seminario	16:00	17:00	1201 Dal Passo	Gleb NENASHEV	Brandeis University	Algebra & Representation Theory Seminar (ARTS) "Schubert Calculus and bosonic operators" Abstract In this talk I will present a new point of view on Schubert polynomials via bosonic operators. In particular, we extend the definition of bosonic operators from the case of Schur polynomials to Schubert polynomials. More precisely, we work with back-stable Schubert polynomials and our operators act on the left weak Bruhat order. Furthermore, these operators with an extra condition give sufficiently enough linear equations for the structure of the cohomology ring of flag varieties.
26/05/23	Seminario	14:30	15:30	1201 Dal Passo	Arun RAM	University of Melbourne	Algebra & Representation Theory Seminar (ARTS) "Boson-Fermion correspondence for Macdonald polynomials" N.B.: partially supported by the MIUR Excellence Department Project MatMod@TOV awarded to the Department of Mathematics, University of Rome "Tor Vergata" Abstract In its simplest form, this correspondence is the map from symmetric functions to skew-symmetric functions given by multiplication by the Weyl denominator (the Vandermonde determinant). A generalization produces the motivating shadow of “geometric Satake”, a diagram which contains the Satake isomorphism, the center of the affine Hecke algebra and the Casselman-Shalika formula. In a miracle that I wish I understood better, the whole diagram generalizes to the case of Macdonald polynomials and sends the bosonic Macdonald polynomial to the fermionic Macdonald polynomial. Does this suggest an “elliptic version" of geometric Langlands? This talk is based upon arXiv2212.03312, joint with Laura Colmenarejo.
25/05/23	Seminario	16:00	17:00	1201 Dal Passo	Mark Demers	Fairfield	Projective cones for dispersing billiards Abstract We describe the recent construction of Birkhoff cones which are contracted by the action of transfer operators corresponding to dispersing billiard maps. The explicit contraction provided by this construction permits the study of statistical properties of a variety of sequential and open billiards. We will discuss some applications of this technique to chaotic scattering and the random Lorentz gas. This is joint work with C. Liverani.
23/05/23	Seminario	14:30	15:30	1201 Dal Passo	Piotr Oprocha	AGH University of Krakow	On invariant sets with vanishing derivative and Cantor set dynamics (joint work with Silvere Gangloff) Abstract Combinatorial graphs can serve as a nice tool for description of dynamical systems on Cantor set. A classical example of this type are Bratelli- Vershik diagrams. Recently, Shimomura, motivated by works of Akin, Glasner and Weiss, developed an alternative approach, which helps to describe dynamical systems on Cantor set by employing inverse limit of graphs. This approach provides a useful tool for description of dynamical systems on Cantor set. As a particular application of the above approach we will present a method of construction of Cantor set $C$ with prescribed dynamics and its extension to interval maps with derivative zero on $C$. Starting motivation for this study is an old question whether invariant subset $Csubset [0,1]$ on which derivative of interval map $f$ vanishes must contain a periodic point.
19/05/23	Colloquium	15:00	16:30	1201 Dal Passo	Eleonora Di Nezza	IMJ-PRG, Sorbonne Université	Evento "May 12: Celebrating Women in Maths" Ricci-flat spaces: one of the building blocks of the Universe (Opening address by Barbara Nelli, University of L'Aquila) Abstract Webpage (con link per lo streaming) Note: This event is part of the activity of the MIUR Department of Excellence Project MatMod@TOV.
17/05/23	Seminario	14:30	15:30	1101 D'Antoni	Sakshi Jain	Tor Vergata	Discrete spectrum is independent of the Banach space Abstract We recall and discuss the result of Baladi & Tsujii which tells that, under mild conditions, a linear operator considered acting on two different Banach spaces will have spectra which coincide outside of the essential spectrum. * [Lemma A.3 of "Dynamical zeta functions and dynamical determinants for hyperbolic maps" by Viviane Baladi].
16/05/23	Seminario	14:30	15:30	1201 Dal Passo	Roberta Bianchini	IAC - CNR	Seminario di Equazioni Differenziali Mathematical analysis of stably stratified fluids Abstract We will be interested in the analysis of a system of PDEs modeling continuously stratified fluids under the influence of gravity. The system is obtained by a linearization of the equations of incompressible non-homogeneous fluids (non-homogeneous Euler equations) around a background density profile that increases with depth (spectrally stable density profile). I will present some mathematical problems related to (asymptotic) stability and long-time dynamics. Note: This talk is part of the activity of the MIUR Department of Excellence Project MatMod@TOV (2023-2027)