Notiziario Scientifico

Notiziario dei Seminari di carattere matematico
a cura del Dipartimento 'G. Castelnuovo'
Sapienza Università di Roma

Settimana dal 28 settembre al 4 ottobre 2015


Lunedì 28 settembre 2015
Ore 14:00, aula De Blasi, Università di Roma Tor Vergata
Corso di dottorato
Chari
Representations of affine and quantum affine algebras I


Lunedì 28 settembre 2015
Ore 14:30, aula di Consiglio
Seminario di Analisi Matematica
Catherine Bandle (Basilea)
On the stability of solutions of semilinear elliptic equations with Robin boundary conditions on Riemannian manifolds
We investigate existence and nonexistence of stationary stable non constant solutions, i.e. patterns, of semilinear parabolic problems in bounded domains of Riemannian manifolds satisfying Robin boundary conditions. These problems arise in several models in applications, in particular in Mathematical Biology. We point out the role both of the nonlinearity and of geometric objects such as the Ricci curvature of the manifold, the second fundamental form of the boundary of the domain and its mean curvature. Special attention is devoted to surfaces of revolution and to spherically symmetric manifolds, where we prove refined results (in collaboration with Paolo Mastrolia, Dario Monticelli and Fabio Punzo).


Mercoledì 30 settembre 2015
Ore 14:30, aula di Consiglio
Seminario di Algebra e Geometria
Wolfgang Soergel (Freiburg)
Motives in representation theory


Giovedì 1 ottobre 2015
Ore 14:30, aula 211, Università di Roma Tre (l.go san Leonardo Murialdo)
Seminario di Geometria
Spencer Backman (Sapienza Università di Roma)
Divisor theory for graph orientations
Over the past decade, there has been an great deal of interest in the development of a theory of divisors on graphs and tropical curves, which is analogous to the classical theory for algebraic curves. In the first half of the talk, I will give a survey of divisor theory for graphs and it's applications to algebraic geometry and number theory. The combinatorial language for studying linear equivalence of divisors on graphs is 'chip-firing', a certain game which has been independently introduced in several mathematical fields. In the second half of my talk, I will explain how chip-firing may be viewed as a shadow of a certain process on partial graph orientations, and illustrate how this insight lends itself to a more conceptual, but still combinatorial, understanding of Baker and Norin's Riemann-Roch theorem for graphs.


Venerdì 2 ottobre 2015
Ore 14:30, aula Picone
Seminario di Probabilità
R. Mesiar (STU Bratislava)
On the role of ultramodularity (and Schur concavity) in the construction of binary copulas
We discuss and stress the role of ultramodularity in special types of constructions of binary copulas. After recalling of some known ultamodularity-based results, we focus on a the so-called D-product of a copula and its dual. We show that for each copula D which is ultramodular and Schur concave on the left upper triangle of the unit square, this D-product of an arbitrary copula and its dual is again a copula. Several examples and counterexamples are given. Finally, some of our results are generalized to the case of semicopulas and quasi-copulas. Work in collaboration with E. P. Klement, A. Kolesarova and S. Saminger-Platz


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