Notiziario Scientifico

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

Settimana dal 09-09-2019 al 15-09-2019

Lunedì 09 settembre 2019
Ore 9:00, Aula Urbano VIII, Dipartimento di Architettura - Via Madonna dei Monti, 40 - Roma
Convegno
Claudia Faggian (CNRS-Université Paris Diderot), Jean-Baptiste Joinet (Université Jean Moulin Lyon 3), Giulio Guerrieri (University of Bath), Ugo Dal Lago (Università di Bologna & INRIA Sophia Antipolis), Federico Olimpieri (Aix-Marseille Université e Università Roma Tre), Matteo Acclavio (Università Roma Tre), Paul-André Melliès (CNRS-Université Paris Diderot), Gabriele Vanoni (Università di Bologna & INRIA Sophia Antipolis), Luc Pellissier (Université Paris Diderot), Michele Pagani (Université Paris Diderot), Margherita Zorzi (Università di Verona), Paolo Pistone (Tübingen University).
Incontro annuale del gruppo di ricerca internazionale IRN “Linear Logic”, che si svolgerà nei giorni 9, 10 e 11 settembre 2019
Per ulteriori informazioni: - sito dell’evento: https://sites.google.com/view/irn-ll-roma2019/home - sito ufficiale del IRN “Linear Logic”: http://linear-logic.org/en/ - Lorenzo Tortora de Falco: tortora@uniroma3.it


Mercoledì 11 settembre 2019
Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
Convegno Nonlinear Diffusion Problems
Dedicato a Maria Assunta Pozio
Programma:

  • 14.30-15.15 Commemoration of Maria Assunta Pozio
  • 15.15-16.00 Michiel BERTSCH (Università di Roma Tor Vergata & IAC-CNR, Italy) Discontinuous viscosity solutions of first order Hamilton–Jacobi equations
  • 16.00-16.30 coffee break
  • 16.30-17.15 Jesus Ildefonso DIAZ (Universidad Complutense de Madrid, Spain) Beyond the unique continuation: "flat solutions" for reactive slow diffusions and the infinite andconfinement singular potentials for the Schrödinger equation
  • 17.15–18.00 Maria Michaela PORZIO (Sapienza, Università di Roma, Italy) Time behavior of the solutions to a class of diffusion problems
Per ulteriori informazioni: http://www1.mat.uniroma1.it/ricerca/convegni/2019/ndp2019/

Mercoledì 11 settembre 2019
Ore 16.00, Aula Dal Passo, Dipartimento di Matematica, Università di Roma "Tor Vergata"
Colloquium di Dipartimento
Daniela Cadamuro (Leipzig University, Germany)
Curing the infrared problem in nonrelativistic QED
In nonrelativistic QED, the electron as an infraparticle exhibits velocity superselection, namely plane-wave configurations of the electron with different velocities give rise to inequivalent representations of the algebra of the asymptotic electromagnetic field. Moreover, as another feature of the infrared problem, the Hamiltonian has no well-defined ground state in this realm. These properties make the construction of scattering states of electrons a difficult task. In a model of one spinless electron interacting with the quantized electromagnetic field, we approach these problems in two different ways: On the one hand, by viewing the electron on a new background state, the infravacuum state, which generates a new class of representations; on the other hand, by restricting the algebra to the future light cone. In both cases, our construction leads to the absence of velocity superselection. (Joint project with W. Dybalski)


Giovedì 12 settembre 2019
Ore 9:00, Aula Urbano VIII, Dipartimento di Architettura - Via Madonna dei Monti, 40 - Roma
Convegno
Interventi di: Jean-Yves Girard (CNRS Aix-Marseille Université), Martin Hyland (University of Cambridge), Christian Retoré (Université de Montpellier), Jean-Baptiste Joinet (Université Jean Moulin Lyon 3), Simone Martini (Università di Bologna), Christophe Fouqueré (Université Paris 13), Simona Ronchi della Rocca (Università di Torino), Remo Pareschi (Università del Molise), Mario Piazza (Scuola Normale Superiore di Pisa), Paul Ruet (CNRS-Université Paris Diderot), Carlo Cellucci (Università La Sapienza), Antonio Di Nola (Università di Salerno), Gabriele Lolli (Scuola Normale Superiore di Pisa), Giovanni Sambin (Università di Padova).
Giornata scientifica in onore del pensionamento del prof. Vito Michele Abrusci, che si svolgerà nel giorno 12 settembre 2019
Per ulteriori informazioni: - sito dell’evento: https://sites.google.com/view/irn-ll-roma2019/home - sito ufficiale del IRN “Linear Logic”: http://linear-logic.org/en/ - Lorenzo Tortora de Falco: tortora@uniroma3.it


Giovedì 12 settembre 2019
Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
Convegno Nonlinear Diffusion Problems
Dedicato a Maria Assunta Pozio
Programma:

  • 09.15-10.00 Robert KERSNER (University of Pécs, Hungary) Periodic stationary solutions of some reaction-diffusion systems
  • 10.00-10.45 Masayasu MIMURA (Hiroshima University, Hiroshima, Japan) Nonlinear diffusion modelling stay (grow)-or-migrate dichotomy
  • 10.45-11.15 coffee break
  • 11.15-12.00 Elena BERETTA (Politecnico di Milano, Italy & NYU, Abu Dhabi, UAE) On some inverse boundary value problems related to the monodomain model of cardiac electrophysiology
  • 12.00-12.45 Pierangelo MARCATI (GSSI – Gran Sasso Science Institute, L’Aquila, Italy) Splash singularities for 2-D incompressible viscoelastic fluids of Oldroyd-B type
  • 14.30-15.15 Thierry CAZENAVE (Sorbonne Université, France) Some stability properties for minimal solutions of \(−\Delta u=\lambda g(u)\)
  • 15.15-16.00 Gabriella TARANTELLO (Università di Roma Tor Vergata, Italy) Minimal immersions of closed surfaces in hyperbolic 3-manifold
  • 16.00-16.30 coffee break
  • 16.30-17.15 Mimmo IANNELLI (Università di Trento, Italy) Vector-borne epidemics through a plantation
  • 17.15-18.00 Hiroshi MATANO (Meiji University, Tokyo, Japan) Propagation of bistable fronts through a perforated wall: Part I
  • 20.00-22.30 ...social dinner...
Per ulteriori informazioni: http://www1.mat.uniroma1.it/ricerca/convegni/2019/ndp2019/

Giovedì 12 settembre 2019
Ore 14:30, Aula 1201 Dal Passo, Dipartimento di Matematica, Università di Roma "Tor Vergata"
Rida T. Farouki (University of California Davis)
The Bernstein polynomial basis: a centennial retrospective
The Bernstein polynomial basis, introduced in 1912 to provide a constructive proof of the Weierstrass approximation theorem, attracted little interest for practical computations until the advent of the novel field of computer-aided geometric design in the 1960s and 1970s. Through the work of Paul de Casteljau at Citroen and Pierre Bezier at Renault, the remarkable properties and elegant algorithms associated with this representation for polynomials over finite domains became more widely appreciated. Apart from offering useful geometrical insight into the behavior of polynomials, the Bernstein form is an intrinsically very stable representation with an attractive hierarchical structure in the multivariate context, and in recent decades it has enjoyed an increasingly diverse repertoire of applications. This talk will provide a brief perspective on the historical evolution of the Bernstein form, and a synopsis of the current state of associated algorithms and applications. This talk is part of the activity of the MIUR Excellence Department Project CUP E83C18000100006


Venerdì 13 settembre 2019
Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
Convegno Nonlinear Diffusion Problems
Dedicato a Maria Assunta Pozio
Programma:

  • 09.15-10.00 Henri BERESTYCKI (PSL University Paris & CNRS, France) Propagation of bistable fronts through a perforated wall: Part II
  • 10.00-10.45 Jesus HERNANDEZ (Universidad Autónoma de Madrid, Spain) Positive solutions for a nonlinear elliptic problem arising in chemical reactions
  • 10.45-11.15 coffee break
  • 11.15-12.00 Fabio PUNZO (Politecnico di Milano, Italy) The Poisson equation on Riemannian manifolds
  • 12.00-12.45 Catherine BANDLE (University of Basel, Switzerland) Positive solutions of semilinear elliptic problems with a Hardy potential
  • 12.45-13.00 Conclusions
Per ulteriori informazioni: http://www1.mat.uniroma1.it/ricerca/convegni/2019/ndp2019/

Venerdì 13 settembre 2019
Ore 14:30, Aula 2E, Pal. RM004, Dip. SBAI (Scienze di Base e Applicate per l'Ingegneria), Sapienza Università di Roma
Incontri di Algebra e Geometria allo SBAI
Ali Kemal Uncu (Research Institute for Symbolic Computation, Johannes Kepler University, Linz)
Polynomial identities that imply Capparelli's partition theorems, and more
Capparelli's partition identities are a pair of combinatorial identities which has the implication that two sets of partitions with different constraints are equinumerous. More precisely, one set is counted with some difference conditions that the parts of the partitions satisfy and another set counted with some congruence conditions, and although the sets are seemingly unrelated, their total counts are the same for any number that is to be partitioned. Analytically, these identities tend to manifest themselves as an infinite sum being equal to an infinite product. In Capparelli's partition identities case this manifestation was not present. In 2018, using computer search, Kanade-Russell found an analytic representation for the generating function for the partitions counted with the difference conditions of the Capparelli's Partition Theorems. Kanade and Russell proved this identity relying on the the Capparelli's partition theorems. Kursungoz also provided generating function representations of these functions. His method on the other hand was combinatorial. Joint with Alexander Berkovich, I have refined the above mentioned generating functions and this lead to polynomial identities, which directly imply the Capparelli's partition identities. This method can also be used to prove other partition theorems directly, such as Schur's partition theorem. Not only that, this study lead to many new identities such as two new Andrews-Gordon type infinite families.


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