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Department of Mathematics

Symmetry Breaking in Mathematics

Project: Research

Frahm, Jan (PI)
Weiske, Clemens (Participant)
Ditlevsen, Jonathan (Participant)
Spilioti, Polyxeni (Participant)
Bang-Jensen, Frederik Juul (Participant)
Labriet, Quentin (Participant)

Department of Mathematics

Description

"Symmetry breaking" describes the process of passing from a state of high symmetry to one with less symmetry, and it plays an important role in modern theoretical physics. This research project aims at a mathematical description and study of symmetry breaking in terms of representations of reductive Lie groups, with possible applications to questions in partial differential equations and analytic number theory. The grant will fund the recepient as well as one postdoc and two PhD students.

Status	Active
Effective start/end date	01/08/2019 → 31/07/2024

Prizes

Villum Young Investigator
Prize: Prizes, scholarships, distinctions

Research outputs

Symmetry breaking operators for real reductive groups of rank one
Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Rankin-Selberg periods for spherical principal series
Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
An extension problem related to the fractional Branson-Gover operators
Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Branching laws for representations of real reductive groups of rank one
Research output: Book/anthology/dissertation/report › Ph.D. thesis
On the direct integral decomposition in branching laws for real reductive groups
Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Conformally invariant differential operators on Heisenberg groups and minimal representations
Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Twisted Ruelle zeta function at zero for compact hyperbolic surfaces
Research output: Working paper/Preprint › Preprint
Generalized Laguerre functions and Whittaker vectors for holomorphic discrete series
Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
The twisted Ruelle zeta function on compact hyperbolic orbisurfaces and Reidemeister-Turaev torsion
Research output: Working paper/Preprint › Preprint

ID: 185590392