arXiv papers for Gianni Petrella

Check out Gianni's work on the arXiv. #QuiverModuli #AlgebraicGeometry #RepresentationTheory
arxiv.org/search/?quer...

Original post on mathstodon.xyz

For any prime p there are exactly two non-abelian groups of order p:

1. The Heisenberg group of the field with the p elements, which consists of matrices of the form
[1 a c]
[0 1 b]
[0 0 1]
with a, b, c in Fₚ.

2. The semidirect product Z/p² ⋊ Z/p with Z/p acting on Z/p² via a·x := (1+ap)x […]

Orbit Meetings Orbit Meetings take place on Wednesday afternoons three times a year across the Universities of Birmingham, Manchester and Warwick. The meetings focus on topics in group theory and representation…

The next Orbit meeting will be held at the Warwick Mathematics Institute @uni-of-warwick.bsky.social this Wednesday. #GroupTheory #RepresentationTheory

On the Irreducible Character Degrees of Symmetric Groups and their Multiplicities We consider problems concerning the largest degrees of irreducible characters of symmetric groups, and the multiplicities of character degrees of symmetric groups. Using evidence from computer experiments, we posit several new conjectures or extensions of previous conjectures, and prove a number of results. One of these is that, if n >= 21, then there are at least eight irreducible characters of S_n, all of which have the same degree, and which have irreducible restriction to A_n. We explore similar questions about unipotent degrees of GL_n(q). We also make some remarks about how the experiments here shed light on posited algorithms for finding the largest irreducible character degree of S_n.

"On the Irreducible Character Degrees of Symmetric Groups and their Multiplicities" by David A. Craven. #ExperimentalMath #RepresentationTheory #SymmetricGroups #MathSky

3/4 As a member of this AWM Research Network, Melody participated in the 2025 WINART4 Workshop held at Banff International Research Station, where she shared her research and became part of a network of peers and mentors in her field.

#Banff #Community #RepresentationTheory

I GOT A JOB! Get to do fun math for 3 years safe!! 🥳 #representationtheory #grouptheory #transmath

On the classification and irreducibility of $2$-local representations of
the twin group $T_n$
Mohamad N. Nasser, Taher I. Mayassi
Paper
Details
#TwinGroupTn #RepresentationTheory #AlgebraicStructures

Representations of Deligne-Mostow lattices into PGL(3,C) We classify representations of a class of Deligne-Mostow lattices into PGL(3,C). In particular, we show local rigidity for the representations (of Deligne-Mostow lattices with three-fold symmetry and of type one) where the generators we chose are of the same type as the generators of Deligne-Mostow lattices. We also show local rigidity without constraints on the type of generators for six of them and we show the existence of local deformations for a number of representations in three of them. We use formal computations in SAGE and Maple to obtain the results. The code files are available on GitHub.

"Representations of Deligne-Mostow lattices into PGL(3,C)" by E. Falbel, I. Pasquinelli, and A. Ucan-Puc. #ExperimentalMath #RepresentationTheory #MathSky

The spectrum of global representations for families of bounded rank and
VI-modules
Jordan Williamson, Luca Pol et al.
Paper
Details
#AlgebraicGeometry #RepresentationTheory #VIModules

On some results of Harish-Chandra for representations of p-adic groups,
extended to their central extensions
Volker Heiermann
Paper
Details
#HarishChandraTheory #PAdicGroups #RepresentationTheory

Our recent paper on data utilization must have established a fundamental basis for such a future theory.

Let’s check our paper:
doi.org/10.1007/s001...

#Design #DesignTheory #DesignFuture #DesignThinking #RepresentationTheory #Data

Special Semester 2025

Modern Perspectives in Representation Theory: a special semester will run at SMRI in semester 1 2025 (March-June 2025); organised by Geordie Williamson (SMRI), Charlotte Chan & Thomas Lam (both UMich) #mathsky #representationtheory #mathsdownunder
👉https://bit.ly/4i11Ixe

Mathematician Solves Two Long-Standing Problems in Representation Theory In a significant advancement for the field of mathematics, Professor Pham Tiep of Rutgers University has solved two fundamental problems that have puzzled

Rutgers mathematician solves two decade-old problems in representation theory. Could this lead to breakthroughs in encryption and error-correction? #MathBreakthrough #RepresentationTheory scienceblog.com/548534/mathe... @RutgersU