Dipartimento di Matematica -UTV-

Date	Type	Start	End	Room	Speaker	From	Title
26/05/21	Seminario	16:00	17:00		Fabio Cipriani	(Politecnico Milano)	Densities and their measurability in NCG - online seminar - link to MS teams in the abstract Abstract Abstract: The aim of the talk is to provide conditions ensuring Connes' measurability of the canonical, $(1,infty)$-summable, spectral weight $ho(D)$, we associate to any self-adjoint operator $D$ with discrete spectrum and of its associated state $phi_D(T):={ m Tr,}_omega (T ho(D))$. The framework allows to discuss measurability for discrete groups with sub-exponential growth and $ heta$-summable spectral triples. Examples also include 1. the volume density of Euclidean domains of infinite volume 2. densities on the C$^*$-algebra of pseudo-differential operators of 0-order on a compact Riemannian manifold 3. densities on Toeplitz extensions. This talk is part of the activity of the MIUR Excellence Department Project MATH@TOV CUP E83C18000100006. Link MS Teams
21/05/21	Seminario	15:00	16:00		Sachin GAUTAM	Ohio State University	Online / Algebra & Representation Theory Seminar (O/ARTS) "R-matrices and Yangians" - in streaming mode - (see the instructions in the abstract) Abstract An R-matrix is a solution to the Yang-Baxter equation (YBE), a central object in Statistical Mechanics, discovered in 1970's. The R-matrix also features prominently in the theory of quantum groups formulated in the eighties. In recent years, many areas of mathematics and physics have found methods to construct R-matrices and solve the associated integrable system. In this talk I will present one such method, which produces meromorphic solutions to (YBE) starting from the representation theory of a family of quantum groups called Yangians. Our techniques give (i) a constructive proof of the existence of the universal R-matrix of Yangians, which was obtained via cohomological methods by Drinfeld in 1983, and (ii) prove that Drinfeld's universal R-matrix is analytically well behaved. This talk is based on joint works with Valerio Toledano Laredo and Curtis Wendlandt. N.B.: please click HERE to attend the talk in streaming
20/05/21	Seminario	16:00	17:00		Umberto Zannier	Scuola Normale Superiore di Pisa	DinAmicI: Another Internet Seminar (DAI Seminar) ”Torsion values of sections, elliptical billiards and diophantine problems in dynamics” - in streaming mode - (see the instructions in the abstract) Abstract After a very brief review of basics on elliptic curves and their families, we shall consider "sections" of such families, and especially their "torsion values". For instance, what can be said of the complex numbers b for which (2, sqrt{2(2-b)}) is torsion on the Legendre curve y^2=x(x-1)(x-b)? In particular, we shall recall results of "Manin-Mumford type" and focus to illustrate some applications to elliptical billiards. Finally, if time allows we shall frame these issues as special cases of a general question in arithmetic dynamics, which can be treated with different methods, depending on the context. (Most results refer to work with Pietro Corvaja and David Masser.) Note: The zoom link to the seminar will be posted on the DinAmicI website and on Mathseminars.org. Moreover, it will be also streamed live via the youtube DinAmicI channel.
20/05/21	Seminario	14:30	17:50	Aula Gismondi			Workshop "Entropy and QFT" h. 14:30 - 15:15 Daniela Cadamuro (University of Leipzig) Relative entropy of coherent states on general CCR algebras h. 15:30 - 16:15 Rainer Verch(University of Leipzig) Temperature and entropy-area relation of quantum matter near spherically symmetric outer trapping horizons h. 16:30-16:50 Tea break h. 16:50 - 17:35 Marius Junge (University of Illinois) Poissonization, boundary and relative entropy - in streaming mode - conference registration required. NB:This workshop is part of the activity of the MIUR Excellence Department Project MATH@TOV CUP E83C18000100006 Abstract
20/05/21	Seminario	14:00	15:00		Giovanni Molica Bisci	Università degli Studi di Urbino	Nonsmooth functionals in the Calculus of Variations ( MS Teams Link for the streaming ) Abstract Link to the abstract NB:This talk is part of the activity of the MIUR Excellence Department Project MATH@TOV CUP E83C18000100006
19/05/21	Seminario	14:00	18:15				Workshop "Entropy and QFT" h. 14:00 -14:10 Welcome h. 14:10 - 14:55 Stefan Hollands (University of Leipzig) State recovery h. 15:10 - 15:55 Chris J. Fewster(University of York) Quantum Energy Inequalities h. 16:10-16:30 Tea break h. 16:30 - 17:15 Thomas Faulkner (University of Illinois) Some new results on reflected entropy h. 17:30 - 18:15 Feng Xu (University of California, Riverside) Rigorous results about Relative entropy in QFT - in streaming mode - conference registration required. NB:This workshop is part of the activity of the MIUR Excellence Department Project MATH@TOV CUP E83C18000100006 Abstract
14/05/21	Colloquium	15:00	17:00		Maria Colombo	Swiss Federal Institute of Technology (Lausanne)	May 12: Celebrating Women in Mathematics in Rome The Transport equation (With an opening address by Roberta Fulci) Abstract For more information about this event visit this webpage (which contains also the link for the streaming of the event). This is part of the international initiative May 12: Celebrating women in Mathematics Note: This talk is part of the activity of the MIUR Department of Excellence Project MATH@TOV CUP E83C18000100006
13/05/21	Seminario	14:00	15:00		Simone Secchi	Università di Milano Bicocca	Concentration phenomena for the Schroedinger-Poisson system in R^2 ( MS Teams Link for the streaming ) Abstract We present some recent results obtain in collaboration with Denis Bonheure (Bruxelles, Belgium) and Silvia Cingolani (Bari, Italy) about a semiclassical analysis for a planar Schroedinger-Poisson system with potential functions. NB:This talk is part of the activity of the MIUR Excellence Department Project MATH@TOV CUP E83C18000100006
12/05/21	Seminario	16:00	17:00		Jacopo Bassi	Univ. Tor Vergata	Amenability properties for SL(3,Z) in streaming mode - link in the abstract Abstract Motivated by analogies with the case of SL(2,Z), we introduce a method for the study of possible variants of the Akemann-Ostrand property for SL(3,Z). This is a joint work in progress with Florin Radulescu. This talk is part of the activity of the MIUR Excellence Department Project MATH@TOV CUP E83C18000100006. MS Teams link
11/05/21	Seminario	16:30	18:00		Tommaso de Fernex	University of Utah (USA)	On rationality of complex algebraic varieties (online lecture series) Abstract Inizio del ciclo di 12 ore di lezioni on-line (ZOOM) per il Dottorato di Ricerca. Il Ciclo di lezioni è organizzato dal proponente scientifico Prof. Flaminio Flamini nell'ambito dellle attività del PROGETTO DI ECCELLENZA MIUR 2018-2022 MATH@TOV (CUP E83C18000100006). La cadenza delle lezioni e' MARTEDI' E GIOVEDI' 16:30-18:00 da 11 Maggio 2021 a 03 Giugno 2021 Per ulteriori informazioni sul corso, visitare la pagina web di riferimento: https://sites.google.com/view/on-rationality-of-cpx-alg-vars/ Abstract: Rationality has been a central topic in the field since the Luroth problem was formulated at the end of the 18th century. The only rational curve is the projective line, and Castelnuovo's criterion settles the two-dimensional case. However, determining which varieties are rational in higher dimensions can be a challenging problem. In these lectures, I will overview some of the history of the problem and focus on two aspects related to rationality: birational rigidity and deformations of rational varieties. We will prove Iskovskikh-Manin's theorem on quartic threefolds and its generalization to higher dimensions, and Kontsevich-Tschinkel's specialization result on rationality. Along the way, we will also review some classical theorems on surfaces such as Noether-Castelnuovo's factorization theorem of Cremona transformations and Segre and Manin's theorems on rationality of cubic surfaces over non-closed fields.