Thu, 30 Apr 2026
12:00 -
12:30
Lecture Room 4, Mathematical Institute
Tue, 28 Apr 2026
14:00
14:00
L6
The wavefront set of representations of reductive p-adic groups
Dan Ciubotaru
((Mathematical Institute University of Oxford))
Abstract
A difficult question in the local Langlands framework is to understand the interplay between the characters of irreducible smooth representations of a reductive group over a local field and the geometry of the dual space of Langlands parameters. An important invariant of the character (viewed as a distribution, i.e, a continuous linear functional on the space of smooth compactly supported functions) is the wavefront set, a measure of its singularities along with their directions. Motivated by the work of Adams, Barbasch, and Vogan for real reductive groups, it is natural to expect that the wavefront set is dual (in a certain sense) to the geometric singular support of the Langlands parameter. Dan Ciubotaru will give an overview of these ideas and describe recent progress in establishing a precise connection for representations of reductive p-adic groups.
Thu, 23 Apr 2026
11:00
11:00
L4
Upper bound to the GK-dimension for p-adic Banach representations with infinitesimal character
Reinier Sorgdrager
(University of Amsterdam and Université Paris-Saclay)
Abstract
Let p>2 and K be a finite extension of Q_p. In recent work I have shown that an admissible p-adic Banach representation of GL2(K) has Gelfand-Kirillov dimension at most the degree [K:Q_p] as soon as its locally analytic vectors have an infinitesimal character. In work yet to appear I adapt its method to 'p-adic Banach representations in families with infinitesimal characters in families' -- still for GL2(K).
I will briefly motivate the result by some consequences to the p-adic Langlands program, such as a generalization of the GK-bound of Breuil-Herzig-Hu-Morra-Schraen beyond K unramified. Then I will give a quick overview of the above notions and try to present the key idea of the proof, for a single representation and with K=Q_p.
AI Bubbles with Large Language Models
Cartea, Á
Chang, P
Chen, N
Zhong, M
(2026)
Defect charges, gapped boundary conditions, and the symmetry TFT
Copetti, C
Journal of High Energy Physics
volume 2026
issue 4
(09 Apr 2026)
This is a rare opportunity to work at one of the world’s leading mathematics departments, managing large-scale, research-intensive IT systems with exceptional autonomy. You will shape infrastructure used by hundreds of academics, researchers and students, from HPC servers to complex cross‑platform deployments. If you enjoy solving challenging technical problems in a collaborative, intellectually rich environment, you will thrive here.
Thu, 11 Jun 2026
16:00 -
17:00
L5
A conjecture of Warnaar-Zudilin from deformations of lie superalgebras.
Creutzig, T
Garner, N
Research in the mathematical sciences
volume 13
issue 2
33
(02 Jan 2026)
Lethal conflict after group fission in wild chimpanzees.
Sandel, A
He, Y
Ren, J
Kei, Y
Lee, K
Clark, I
Reddy, R
Negrey, J
Birungi, C
Apamaku, B
Kanweri, D
Kalunga, D
Aliganyira, C
Ramírez-Amaya, S
Nakayima, P
Katumba, R
Kamugyisha, B
Acosta-Florez, D
van Boekholt, B
Mbabazi, G
Akamumpa, E
Namaganda, S
Tumusiime, A
Angedakin, S
Reinert, G
Madrid-Padilla, O
Cucuringu, M
Wipf, D
Langergraber, K
Watts, D
Mitani, J
Science (New York, N.Y.)
volume 392
issue 6794
216-220
(09 Apr 2026)
Statistical patterns in the equations of physics and the emergence of a meta-law of nature.
Constantin, A
Ferreira, P
Desmond, H
Bartlett, D
Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
volume 384
issue 2317
20250091
(Apr 2026)