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Settimana 16/06/2025 - 20/06/2025

 

• Seminari

• Eventi

• Archivio Bollettini

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Seminari

 

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Nel link sottostante trovate la Newsletter n.3 del progetto di Dipartimento MatMod@TOV, con l'invito di leggerla e a darne massima diffusione:

Click below for PDF file Download:
NEWSLETTER n.3

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Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

Colloquium di Dipartimento

Date: 18th June 2025

Schedule: 16:00 Rome Time

Where: Conference Room 1201 "R. Dal Passo "

Speaker: Masahiro Yamamoto - University of Tokyo

Title: "Gravity Inverse problems enabling us to detect invisible shapes and properties "

Abstract: For predictions of phenomena and estimates of causes hidden behind the phenomena, it is the first step to construct adequate mathematical models. In many cases, the models are partial differential equations and integral equations. Also for accurate predictions, needless to say, it is essential to clarify main factors or parameters governing the phenomena, which is related to inverse problems. Moreover, inverse problems themselves are directly concerned with serious important real-world issues, and we can mention for example, medical diagnoses, physical prospects, which require us to detect the invisible objects such as tumor, petroleum, etc. Motived as above, we can characterize inverse problems as the problems where we are requested to determine parameters, domains of partial differential equations, etc by prescribed observable data.
First I will explain simple but typical histotrical inverse problems coming from the universal gravitation and emphasize the variety of the inverse problems. This variety of inverse problems justify that the researches are expanding and should need more mathematics. One typical inverse problem coming from the universal gravitation is the inverse gravimetry where we are required to determine shapes of a underground domain occupied by heavier substances (gold?). It is understandable that our avalable data are limited and incomplete for determining an underground domain, and we can expect that the uniqueness for the inverse problem is not trivial: the data can determine an unknown shape uniquely? I present several results concerning the uniqueness for the inverse gravimetry (Isakov [5], Kim and Yamamoto [6]). I present also uniqueness results for solutions to partial differential equations with specif- ically faster decay as |x| → ∞ (spatially) or t → ∞ (in time), and our result (G¨olgeleyen, Imanuvilov and Yamamoto [2]) can be some answer to a celebrated Landis conjecture. Second, even if the uniqueness is proved, the incompleteness of available data may yield the instability: small errors in data cause large deviations in finding solutions of inverse problems. Mathematically we are interested in the best possible stability estimate, and as one example we discuss the determination of multiple point sources for wave equations with specific distance among sets of points (Komornik and Yamamoto [7])
Finally, I would like to explain my recent results concerning inverse problems for the mean field games (Imanuvilov, Liu and Yamamoto [3], Imanuvilov and Yamamoto [4]) and the transport equations.
References
[1] M. Bellassoued and M. Yamamoto, Carleman Estimates and Applications to Inverse Problems for Hy- perbolic Systems, Springer Japan, Tokyo, 2017.
[2] F. G¨olgeleyen, O.Y. Imanuvilov and M. Yamamoto, Uniqueness of solutions to an elliptic inequality with rapid decay at infinity, preprint.
[3] O. Imanuvilov, H. Liu and M. Yamamoto, Unique continuation for a mean field game system, Applied Mathematics Letters 145, November 2023, 108757. arXiv:2305.00617
[4] O. Imanuvilov and M. Yamamoto, Global Lipschitz stability for an inverse coefficient problem for a mean field game system, Math. Methods Applied Sci. 48 Issue 3 (2025) 3858-3870.
[5] V. Isakov, Inverse Problems for Partial Differential Equations, second edition, Springer-Verlag, Berlin, 2006.
[6] S. Kim and M. Yamamoto, Uniqueness in identification of the support of a source term in an elliptic equation. SIAM J. Math. Anal. 35 (2003) 148-159.
[7] V. Komornik and M. Yamamoto, Upper and lower estimates in determining point sources in a wave equation, Inverse Problems 18 (2002) no. 2, 319-329, Corrigendum: Inverse Problems 19 (2003) no. 4, 999.
[8] M. Yamamoto, Carleman estimates for parabolic equations and applications, Inverse Problems 25 (2009) 123013

Note: This colloquium is part of the activity of the MUR Excellence Department Project MATH@TOV CUP E83C23000330006

Organizing Committee:
Alessandro Pizzo(Contact Mail)
Riccardo Molle (mail to contact)

Further Information: Click here for webpage

Streaming Link (MS Teams): This seminar will be held in person

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Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

Operator Algebra Seminar

Date:18 June 2025

Schedule: 16:00 - Rome Time -

Where: Conference Room 1201" R. Dal Passo "

Title:" Euclidean field theories with local interactions as limits of interacting Bose gases "

Speaker: Alessio Ranallo - University of Geneva

Abstract: in the first part of the talk, I will review recent techniques to prove that certain Euclidean Field Theories arise as high-density limits of interacting Bose gases at positive temperature. In the second part of the talk, I will present some new results that generalize these techniques to a trapping potential in dimension two, where a number of difficulties arise.
Based on a joint work with Cristina Caraci, Antti Knowles, and Pedro Torres Giesteira.

Organizing Committee:
Vincenzo Morinelli (mail to contact)
Roberto Longo (mail to contact)
Daniele Guido (mail to contact)
Giuseppe Ruzzi (mail to contact)
Sebastiano Carpi (mail to contact)

Further Info: Click here for Operator Algebras Seminar Page

Streaming Link (MS Teams): This seminar will be held in person

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Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

DIFFERENTIAL EQUATIONS SEMINAR

Date: 17th June 2025

Schedule: 14:30 - Rome Time -

Where:Conference Room "R. Dal Passo "

Title: " Liouville theorems for nonlocal operators with conical diffusion "

Speaker: Giulio Galise - Università La Sapienza di Roma

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)



Nota: Questo seminario fa parte delle attività finanziate dal progetto MIUR Dipartimento d'eccellenza MatMod@TOV (2023-27) CUP E83C23000330006
Note: This talk is part of the activity of the MIUR Excellence Department Project MatMod@TOV (2023-27) CUP E83C23000330006

Organizing Committee:
Riccardo Molle (mail to contact)
Alfonso Sorrentino (mail to contact)

Further Info and Program: Click here

Streaming Link (MS Teams): This seminar will be held in person

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Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica

 

Algebra and Representation Theory Seminar

Date: Friday 11th April 2025

Schedule:
FIRST SEMINAR 14:30 Rome Time
SECOND SEMINAR 16:00 Rome Time

Where: Conference 1201 - Room Dal Passo

FIRST SEMINAR 14:30 Rome Time

Speaker: Thomas Gerber - Université Claude Bernard Lyon I

Title: "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).

Note: this talk is part of the activity of the MIUR Excellence Department Project MatMod@TOV (CUP E83C23000330006).

SECOND SEMINAR 16:00 Rome Time

Speaker: Nicolas Ressayre - Université Claude Bernard Lyon I

Title: "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.

Note: this talk is part of the activity of the MIUR Excellence Department Project MatMod@TOV (CUP E83C23000330006).

Organizing Committee: Fabio Gavarini (mail to)
Niels Kowalzig (mail to)
Martina Lanini (mail to)

Further Info: Click here for A.R.T.S. Webpage

Streaming Link (MS Teams): This seminar will be held in person

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Eventi

 

 

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