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Settimana 17/10/2025 - 21/11/2025

 

• Seminari

• Eventi

• Archivio Bollettini

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Seminari

 

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Nel link sottostante trovate la Newsletter n.6 del progetto di Dipartimento MatMod@TOV, con l'invito di leggerla ed a darne massima diffusione:

Click below for PDF file Download:
NEWSLETTER n.6

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Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

Geometry Seminar

Date: 18 November 2025

Schedule:
14:30 Rome Time

Where: Conference Room 1101 "C. D'Antoni"

Speaker:
Masafumi Hattori - University of Nottingham

Title: " Applications of K-moduli of quasimaps to K-moduli conjecture for Calabi-Yau fibrations over curves "

Abstracts :
Odaka proposed the K-moduli conjecture in 2010, predicting the existence of a moduli space of K-polystable objects with an ample CM line bundle. While this conjecture has been solved in the Fano case, it remains open in general. Recent developments of Fine, Dervan-Sektnan and Ortu have highlighted the relevance of the existence of cscK metrics and K-stability for for sufficiently small, where is a fibration. According to their works, such K-stability is closely related to some K-stability of fibers and the bases. Especially in the Calabi-Yau fibration over curve case, uniform K-stability in this context (uniform adiabatic K-stability) coincides with the log twisted K-stability on the base. In this talk, we will regard the base curve as a quasimap and introduce the notion of K-moduli of quasimaps. By using this framework, we address the K-moduli conjecture for Calabi-Yau fibrations over curves whose generic fibers are either Abelian varieties or HyperKahler manifolds.
This is a joint work arXiv:2504.21519 with Kenta Hashizume.

Note: This talk is part of the activity of the MIUR Department of Excellence Project MatMod@TOV (2023-2027), Prin 2022 Moduli Spaces and Birational Geometry and Prin PNRR 2022 Mathematical Primitives for Post Quantum Digital Signatures

Organizing Committee:
Codogni Giulio (Contact Mail)
Lido Guido Maria ( Contact Mail)
Francesca Carocci ( Contact Mail)

Further Information: Click here for geometry 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: Wednesday - 19th November 2025

Schedule: - 16:00 - Rome Time -

Where: Conference Room 1201" R. Dal Passo "

Title:" Gauge-invariant quantum observables in non-abelian gauge theories "

Speaker: Karl-Henning Rehren - Univ. of Göttingen

Abstract: Classical constructions of gauge-invariant quantities, like Wilson loops, are too singular as candidates for quantum observables. We present a new construction of more regular operators (sloppily called "Wilson sausage" operators) in the Wick algebra, and discuss their algebraic properties under the operator product.

Note: This talk is part of the activity of the MUR Excellence Department Project MatMod@TOV (CUP E83C23000330006)

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: 18th November 2025

Schedule: 14:30 - Rome Time -

Where: Conference Room "R. Dal Passo "

Title: " The Gauss curvature flow and its capillary variant_ "

Speaker: Liangjun Weng - SNS Pisa

The Gauss curvature flow is a fully nonlinear geometric evolution equation in which a strictly convex, closed hypersurface moves with normal velocity equal to its Gauss curvature. Originating from Firey's work in 1974, it was introduced as an idealized model for the abrasion of convex stones on a beach, and has since developed deep connections with PDE and geometry. In this talk, we will discuss some recent progress on the Gauss curvature flow, including the key contributions by Andrews, Guan-Ni, Brendle-Choi-Daskalopoulos, and others. Particular attention will be given to the convergence of a convex body to a round point in finite time, and to the important roles played by the monotonicity of Firey's entropy in the asymptotic analysis of the flow. We will also discuss natural extensions of the Gauss curvature flow in the capillary setting, based on recent work with Xinqun Mei (Peking University) and Guofang Wang (University of Freiburg).

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 21th November 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: Matilde MACCAN - Ruhr-Universität Bochum

Title: " Automorphisms of flag varieties with non reduced stabilizer "

Abstract:

Alongside toric varieties, flag varieties are one of the rare classes of object in algebraic geometry whose combinatorics allow for explicit computations and testing conjectures. In positive characteristic, there are "twisted" versions of these varieties, namely quotients of the form X=G/P where G is semisimple and P is a non-reduced parabolic subgroup (scheme). Their geometry significantly differs from the one of classical flag varieties; for instance, they are almost never Fano. First we will recall the classification of non-reduced parabolics, and describe through examples the contractions of Schubert curves on X. This will allow us to get to a complete description of the connected automorphism group of X (as a group scheme), generalizing the classical results of Demazure.

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: Bernard LECLERC - Université de Caen

Title: "Cluster structures on (G,c)-bands and representations of quantum affine algebras "

Abstract:

Let G be a simple simply-connected algebraic group of type A, D, E. In the 60's Steinberg has described cross-sections A(c) of the set of regular conjugacy classes in G, depending on the choice of a Coxeter element c in the Weyl group of G. We define a (G,c)-band as a sequence (g(k)) of elements of G such that, for every k, g(k+1) is equal to the product of g(k) by an element of A(c). We show that (G,c)-bands are the rational points of an infinite-dimensional affine integral scheme B(G,c), whose coordinate ring R(G,c) has the structure of a cluster algebra.
This is a joint work with Luca Francone.

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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Date: Monday 17.11.2025

Schedule: 11:00 Rome Time

Where: Conference 1103 - Room F. De Blasi

Speaker: Bernard LECLERC - - Université de Caen

title: "Informal discussion on (G,c)-bands, cluster algebras and representations of quantum affine algebras"

Abstract:

This is a joint work with Luca Francone.
Let G be a simple simply-connected algebraic group of type A, D, E. In the 60's Steinberg has described cross-sections A(c) of the set of regular conjugacy classes in G, depending on the choice of a Coxeter element c in the Weyl group of G. We define a (G,c)-band as a sequence (g(k)) of elements of G such that for every k, g(k+1) is equal to the product of g(k) by an element of A(c). We show that (G,c)-bands are the rational points of an infinite-dimensional affine integral scheme B(G,c), whose coordinate ring R(G,c) has the structure of a cluster algebra. The ring R(G,c) is closely related with a q-difference W-algebra associated with the loop group LG of G, introduced in the 90's by Frenkel and Reshetikhin. In their foundational paper on q-characters of finite-dimensional modules over quantum affine algebras, Frenkel and Reshetikhin conjectured that the q-character homomorphism can be described geometrically using a certain Miura transformation attached to this deformed W-algebra. I will explain how the above cluster structure on R(G,c) yields a proof of this conjecture.

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

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Date: Monday 21.11.2025

Schedule: 11:00 Rome Time

Where: Conference 1103 - Room F. De Blasi

Speaker: Bernard LECLERC - - Université de Caen

title: "Discussion on (G,c)-bands, cluster algebras and representations of quantum affine algebras"

Abstract:

This is a joint work with Luca Francone.
Let G be a simple simply-connected algebraic group of type A, D, E. In the 60's Steinberg has described cross-sections A(c) of the set of regular conjugacy classes in G, depending on the choice of a Coxeter element c in the Weyl group of G. We define a (G,c)-band as a sequence (g(k)) of elements of G such that for every k, g(k+1) is equal to the product of g(k) by an element of A(c). We show that (G,c)-bands are the rational points of an infinite-dimensional affine integral scheme B(G,c), whose coordinate ring R(G,c) has the structure of a cluster algebra. The ring R(G,c) is closely related with a q-difference W-algebra associated with the loop group LG of G, introduced in the 90's by Frenkel and Reshetikhin. In their foundational paper on q-characters of finite-dimensional modules over quantum affine algebras, Frenkel and Reshetikhin conjectured that the q-character homomorphism can be described geometrically using a certain Miura transformation attached to this deformed W-algebra. I will explain how the above cluster structure on R(G,c) yields a proof of this conjecture.

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

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Eventi

 

 

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