Dipartimento di Matematica -UTV-

Date	Type	Start	End	Room	Speaker	From	Title
01/07/25	Seminario	12:00	13:00	1101 D'Antoni	Chiara Sorgentone	Sapienza Università di Roma	Boundary integral methods: numerical tools and applications Abstract Boundary integral methods represent a powerful class of numerical techniques for the solution of partial differential equations, particularly in problems involving infinite or semi-infinite domains, such as those arising in potential theory, acoustics, elasticity, and fluid dynamics. By reducing the dimensionality of the problem and focusing computations on the boundary, these methods can offer significant advantages in terms of accuracy, efficiency, and mesh simplicity. This talk will provide an overview of the numerical challenges that arise when using boundary integral methods, discuss recent advances in efficient algorithms, and present some applications in microfluidics. The talk will highlight both the theoretical elegance and the practical utility of boundary integral methods, and will provide insight into when and why these methods are especially effective.
25/06/25	Seminario	16:00	17:00	1201 Dal Passo	Ian Koot	FAU Erlangen-Nürnberg	Operator Algebras Seminar Relative Positions in Half-Sided Modular Inclusions Note:This talk is part of the activity of the MUR Excellence Department Project MatMod@TOV (CUP E83C23000330006) Abstract Tomita-Takesaki modular theory has become a powerful tool in the analysis of quantum field theories. Although generally the modular objects are difficult to calculate explicitly, in the setting of Half-sided Modular Inclusions we have more control over them. The representation theory of a single Half-sided Modular Inclusion is closely related to the canonical commutation relations and is therefore well understood, but it is not so clear what is possible when multiple different half-sided modular inclusions arise within the same standard subspace/von Neumann algebra. After introducing Half-sided Modular Inclusions and their relation to so-called Standard Pairs, I will discuss a recent result which relates inclusions of standard subspaces, both included as half-sided modular inclusions in a surrounding standard subspace, to inclusions of associated complex subspaces. This allows one to relate back to the representation theory to construct concrete examples of non-trivial phenomena, which we also discuss.
20/06/25	Seminario	16:00	17:00	1201 Dal Passo	Nicolas Ressayre	U Lyon	Algebra & Representation Theory Seminar (ARTS) An algorithm to compute the moment cones Abstract Let V be a representation of a connected complex reductive group G. The group acts on the ring of regular functions on V: the asymptotic support of this representation is a closed convex polyhedral cone, called moment cone. We will present an algorithm that determines the minimal list of linear inequalities for this cone. Some aspect are relevant from algorithm and convex geometry and others from algebraic geometry. Part of the activity of the MIUR Excellence Department Project MatMod@TOV (CUP E83C23000330006).
20/06/25	Seminario	14:30	15:30	1201 Dal Passo	Thomas Gerber	U Lyon	Algebra & Representation Theory Seminar (ARTS) Atomic length on Weyl groups Abstract In this talk, I will introduce a new statistic on Weyl groups called the atomic length, and clarify this terminology by drawing parallels with the usual Coxeter length. It turns out that the atomic length has a natural Lie-theoretic interpretation, based on crystal combinatorics, that I will present. Last but not least, I will explain how this can be used as a tool for tackling a broad range of enumeration problems arising from modular representation theory (and related to the study of core partitions). Part of the activity of the MIUR Excellence Department Project MatMod@TOV (CUP E83C23000330006).
18/06/25	Colloquium	14:30	15:30	1201 Dal Passo	Masahiro Yamamoto	the University of Tokyo	COLLOQUIUM DI DIPARTIMENTO Inverse problems enabling us to detect invisible shapes and properties Abstract NB:This colloquium is part of the activity of the MUR Excellence Department Project MATH@TOV CUP E83C23000330006
17/06/25	Seminario	14:30	15:30	1201 Dal Passo	Giulio Galise	La Sapienza Università di Roma	Seminario di Equazioni Differenziali Liouville theorems for nonlocal operators with conical diffusion Abstract We consider linear stable operators L of order 2s whose spectral measure is positive only in a relative open subset of the unit sphere, the aim being to present Liouville type results, in a half space, for the inequality -Lu ≥ u^p. In particular we will show that u≡0 is the only nonnegative solution for 1 ≤ p ≤ (N+s)/(N-s). The optimality of the exponent (N+s)/(N-s) will also be discussed. Based on a joint work with I. Birindelli and L. Du (Sapienza Università di Roma) NB:This talk is part of the activity of the MUR Excellence Department Project MATH@TOV CUP E83C23000330006
12/06/25	Seminario	16:00	17:00	2001	Amir Vig	University of Michigan, USA	Seminario di Sistemi Dinamici On the inverse spectral problem for convex planar domains Abstract The inverse spectral problem asks to what extent one can recover the geometry of a manifold from knowledge of either its Laplace spectrum or dynamical counterparts, e.g., the (marked) length spectrum. While counterexamples do exist in general, there are certain symmetry and nondegeneracy conditions under which spectral uniqueness holds. Perhaps the most tantalizing unsolved case is that of strictly convex planar domains, known as Birkhoff billiard tables. It turns out that there is a deep relationship between the Laplace and length spectra, which is encoded in the Poisson relation. In this talk, I will describe my work on both Laplace and length spectral invariants as well as limitations in using the Poisson relation for inverse problems. Note: This talk is part of the activity of the MIUR Department of Excellence Project MatMod@TOV (2023–2027).
12/06/25	Seminario	14:30	15:30	2001	Stefano Marò	Universidad de Oviedo, Spagna	Seminario di Sistemi Dinamici Stability of periodic configurations in discrete Lagrangian systems Abstract We consider a class of periodic solutions of second order difference equations with symplectic structure. We obtain an explicit condition for their stability in terms of the 4-jet of the generating function. This result can be seen as a Lagrangian counterpart of the problem of Lyapunov stability of fixed points of area-preserving diffeomorphisms. An application is given to the model of a bouncing ball. Joint work with Rafael Ortega. Note: This talk is part of the activity of the MIUR Department of Excellence Project MatMod@TOV (2023–2027).
11/06/25	Seminario	16:00	17:00	1201 Dal Passo	Andrzej Zuk	Université Paris 7	Operator Algebras Seminar From PDEs to groups Note: This talk is part of the activity of the MUR Excellence Department Project MatMod@TOV (CUP E83C23000330006) Abstract We present a construction which associates to differential equations discrete groups. In order to establish this relation we use automata and random walks on ultra discrete limits. We discuss related results concerning von Neumann dimension and L2 Betti numbers of closed manifolds.
05/06/25	Seminario	14:30	15:30	1200 Biblioteca Storica	Wacław Marzantowicz	U Poznań	Joint Topology & Algebra and Representation Theory Seminar (T-ARTS) Reeb graphs and description of homomorphisms onto the free groups Abstract The Reeb graph R(f) of a C^1-function f from M to the real numbers with isolated critical points is a quotient object by the identification of connected components of function levels which has a natural structure of graph. The quotient map p from M to R(f) induces a homomorphism p* from the fundamental group of M to the fundamental group of R(f) which is equal to F_r, the free group of r generators. This leads to the natural question whether every epimorphism from a finitely presented group G to F_r can be represented as the Reeb epimorphism p* for a suitable Reeb (or even Morse) function f. We present a positive answer to this question. This is done by use of a construction of correspondence between epimorphisms from the fundamental group of M to F_r and systems of r framed non-separating hypersurfaces in M, which induces a bijection onto their framed cobordism classes. As applications we provide new purely geometrical-topological proofs of some algebraic facts.