Notiziario Scientifico

Notiziario dei seminari di carattere matematico
a cura del Dipartimento di Matematica G. Castelnuovo, Sapienza Università di Roma

Settimana dal 15-06-2020 al 21-06-2020

Lunedì 15 giugno 2020
Ore 12:00, Modalità telematica, Dipartimento di Matematica e Fisica, Università degli Studi RomaTre
Final exam Ph.D in Mathematics
Raffaele Carbone (Università degli Studi Roma Tre)
The norm map on the compactified Jacobian, the Prym stack and spectral data for G-Higgs pairs
Meeting online on Microsoft teams: use the following link. People interested in joining the discussion should connect some minutes before 12:00 in order to be admitted to the meeting. People who do not have an account of Microsoft teams are advised to use google chrome or microsoft edge to connect.


Lunedì 15 giugno 2020
Ore 14:00, Teleconferenza https://meet.google.com/pip-kvzt-fkz, Dipartimento di Fisica, Università di Roma La Sapienza
Seminario delle Meccaniche
Sandra Carillo (Università di Roma La Sapienza)
Bäcklund transformations: a tool to study Abelian and non-Abelian nonlinear evolution equations
The definition of Bäcklund transformation is briefly recalled, then, followed by a review on applications in investigating nonlinear evolution equations. Specifically, starting from old results [1], third order scalar and, then, operator nonlinear evolution equations are considered. Results concerning nonlinear non- Abelian nonlinear evolution equations are presented. On the basis of recent results [2, 3, 4, 5], operator equations are studied. A comparison between Abelian and non-Abelian nonlinear evolution equations [6, 7] is given. Under the applicative viewpoint, a special case of operator equations is represented by matrix KdV and mKdV equations. Matrix KdV solutions, obtained via Inverse Scattering Transform techniques, by Goncharenko [8] are recovered, Then, matrix solutions of the mKdV equation can be constructed, via the Miura transformation, which relates it to the matrix KdV equation. Matrix mKdV solutions, 2 ? 2 and 3 ? 3 cases in [9], seem to be new. The latest achievements [9] are presented and briefly discussed. Some work in progress and perspectives are finally mentioned. References [1] B. Fuchssteiner, S. Carillo, Phys. A 154 (1989), 467-510. [2] S. Carillo, C. Schiebold, JMP 2009 \& 2011. [3] S. Carillo, M. Lo Schiavo, C. Schiebold, SIGMA, 2016. [4] S. Carillo, M. Lo Schiavo, C. Schiebold, MATCOM 2018. [5] S. Carillo, et al., JMP 2018. [6] S. Carillo, M. Lo Schiavo, C. Schiebold, EECT, 2019. [7] S. Carillo, APNUM, 2019. [8] V. M. Goncharenko, TMP, 2001. [9] S. Carillo, et al. et al., 2020.


Martedì 16 giugno 2020
Ore 15:45, ZOOM Meeting ID: 962 612 6392 Pwd: mdn166, Dipartimento di Matematica, Sapienza
Seminario di Modellistica Differenziale Numerica On-Line
Athena Picarelli (Università di Verona)
Deep XVA solver: a neural network based counterparty credit risk management framework
We present a novel computational framework for portfolio-wide risk management problems where the presence of a potentially large number of risk factors makes traditional numerical techniques ineffective. The new method utilises a coupled system of backward stochastic differential equations (BSDEs) for the valuation adjustments and solves these by a neural network based BSDE solver. 
Per informazioni, rivolgersi a: falcone@mat.uniroma1.it


Mercoledì 17 giugno 2020
Ore 14:00, streaming all'indirizzo https://meet.google.com/vsz-nxkm-hav, Dipartimento di Matematica, Sapienza Università di Roma
Seminario di Algebra e Geometria
Karen Vogtmann (Warwick)
Outer space for RAAGs
In recent years right-angled Artin groups (RAAGs) have assumed a prominent place in geometric group theory and related fields, Now attention is also being focused on their (outer) automorphism groups. The most well-understood examples of outer automorphism groups of RAAGs are GL(n,Z) and Out(F_n). GL(n,Z) can be profitably studied via its action on the symmetric space of marked lattices, and Out(F_n) via its action on Outer space. We propose an analogous ``outer space” generalizing both of these, on which the outer automorphism group of an arbitrary RAAG acts properly, and we prove this space is contractible. This is joint work with Corey Bregman and Ruth Charney.


Mercoledì 17 giugno 2020
Ore 17:00, On-line seminar, Web site for information: https://www.dinamici.org/dai-seminar/
DinAmicI: Another Internet Seminar (DAI Seminar)
Sunrose Shrestha (Tufts University (USA)
The topology and geometry of random square-tiled surfaces
A square-tiled surface (STS) is a branched cover of the standard square torus with branching over exactly one point. They are concrete examples of translation surfaces which are an important class of singular flat metrics on 2-manifolds with applications in Teichmüller theory and polygonal billiards. In this talk we will consider a randomizing model for STSs based on permutation pairs and use it to compute the genus distribution. We also study holonomy vectors (Euclidean displacement vectors between cone points) on a random STS. Holonomy vectors of translation surfaces provide coordinates on the space of translation surfaces and their enumeration up to a fixed length has been studied by various authors such as Eskin and Masur. In this talk, we obtain finer information about the set of holonomy vectors, Hol(S), of a random STS. In particular, we will see how often Hol(S) contains the set of primitive integer vectors and find how often these sets are exactly equal. Note: The zoom link to the seminar will be posted on https://www.dinamici.org/dai-seminar/ and on https://mathseminars.org/seminar/DinAmicI. Moreover, it will be streamed live on youtube via the DinAmicI channel: https://www.youtube.com/channel/UCyNNg155G3iLS7l-qZjboyg
Per informazioni, rivolgersi a: sorrentino@mat.uniroma2.it


Venerdì 19 giugno 2020
Ore 14:30, Videoconference talk - join it via this link (Teams Conference ID: 550 454 990#), dipartimento di Matematica - Università di Roma "Tor Vergata"
ARTS - Algebra and Representation Theory Seminar
Salvatore STELLA ("Sapienza" - Università di Roma)
Cluster algebras and generalized minors reloaded
In a work with D. Rupel and H. Williams we showed that, given an acyclic finite or affine cluster algebra, its cluster monomials can be understood as generalized minors of the associated Kac-Moody group. The proof hinges upon a double recursion made possible by a technical tool, the double cambrian fan. In this talk I will explain how one can prove a slightly weaker, but at the same time much more general result in a cleaner way. This is a work in progress in collaboration also with A. Appel.
Warning: the talk will be held in streaming, as a videoconference on-line; in order to join the videoconference, follow this link (Teams Conference ID: 550 454 990#).
Per informazioni, rivolgersi a: gavarini@mat.uniroma2.it


Le comunicazioni relative a seminari da includere in questo notiziario devono pervenire esclusivamente mediante apposita form da compilare online, entro le ore 24 del giovedì precedente la settimana interessata. Le comunicazioni pervenute in ritardo saranno ignorate. Per informazioni, rivolgersi all'indirizzo di posta elettronica seminari@mat.uniroma1.it.
Coloro che desiderano ricevere questo notiziario via e-mail sono pregati di comunicare il proprio indirizzo di posta elettronica a seminari@mat.uniroma1.it.

© Università degli Studi di Roma "La Sapienza" - Piazzale Aldo Moro 5, 00185 Roma