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SUMMARY:Anne-Marie Aubert (Sorbonne Université and Université Paris Cit
 é)
DTSTART:20241218T103000Z
DTEND:20241218T111500Z
DTSTAMP:20260417T152947Z
UID:LNT2024/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNT2024/1/">
 Stable blocks en enhanced Langlands parameters</a>\nby Anne-Marie Aubert (
 Sorbonne Université and Université Paris Cité) as part of Luxembourg Nu
 mber Theory Day 2024\n\nLecture held in Room MNO 1.030 in the Maison du No
 mbre building\, Belval Campus.\n\nAbstract\nThe decomposition into Bernste
 in blocks of the category of smooth representations of a p-adic group G ad
 mits a Galois analogue in terms of enhanced L-parameters\, in which the ro
 le of supercuspidal representations is played by « cuspidal » enhanced L
 -parameters\, a notion that originates in the construction by Lusztig of t
 he generalized Springer correspondence.\n\nWe will formulate sufficient co
 nditions to be satisfied by the local Langlands correspondence for the sup
 ercuspidal representations of the Levi subgroups of G in order to allow to
  construct a canonical bijection between the associated blocks on both sid
 es. \n\nNext\,  when these conditions are satisfied\, we will explain how 
 to gather these blocks together into bigger ones that are unions of L-pack
 ets.\n
LOCATION:https://researchseminars.org/talk/LNT2024/1/
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SUMMARY:Jayce Robert Getz (Duke University)
DTSTART:20241218T091500Z
DTEND:20241218T100000Z
DTSTAMP:20260417T152947Z
UID:LNT2024/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNT2024/2/">
 Triple product L-functions: first reduction</a>\nby Jayce Robert Getz (Duk
 e University) as part of Luxembourg Number Theory Day 2024\n\nLecture held
  in Room MNO 1.030 in the Maison du Nombre building\, Belval Campus.\n\nAb
 stract\nI will describe a period integral that unfolds to the triple produ
 ct L-function times L-functions whose analytic properties are understood.
   Motivated by the period integral\, I will then formulate an extension o
 f the Poisson summation conjecture of  Braverman-Kazhdan\, L. Lafforgue\,
  Ngo\, and Sakellaridis that implies the expected analytic properties of t
 riple product L-functions. Time permitting\, I will explain how to reduce 
 this case of the Poisson summation conjecture to a simpler case in which s
 pectral methods can be employed together with certain local compatibility 
 statements.  This is joint work with P. Gu\, C-H. Hsu\, and S. Leslie.\n
LOCATION:https://researchseminars.org/talk/LNT2024/2/
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BEGIN:VEVENT
SUMMARY:Alfio Fabio La Rosa (University of Luxembourg)
DTSTART:20241218T131500Z
DTEND:20241218T140000Z
DTSTAMP:20260417T152947Z
UID:LNT2024/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNT2024/3/">
 Arithmetic applications of the trace formula and asymptotic orthogonality 
 of tempered representations</a>\nby Alfio Fabio La Rosa (University of Lux
 embourg) as part of Luxembourg Number Theory Day 2024\n\nLecture held in R
 oom MNO 1.030 in the Maison du Nombre building\, Belval Campus.\n\nAbstrac
 t\nIn the first part of the talk\, I will discuss an approach based on the
  trace formula to investigate the conjecture of K. Buzzard and T. Gee that
  every C-algebraic automorphic representation of a connected reductive alg
 ebraic group defined over a number field is C-arithmetic. In the second pa
 rt\, I will present a joint work with Anne-Marie Aubert dedicated to the p
 roof of the Archimedean case of the asymptotic form of Schur's orthogonali
 ty for K-finite matrix coefficients of tempered representations of semisim
 ple groups proposed by D. Kazhdan and A. Yom Din.\n
LOCATION:https://researchseminars.org/talk/LNT2024/3/
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BEGIN:VEVENT
SUMMARY:Qing Liu (Université de Bordeaux)
DTSTART:20241218T081500Z
DTEND:20241218T090000Z
DTSTAMP:20260417T152947Z
UID:LNT2024/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNT2024/4/">
 Resolution of singularities of double covers of regular surfaces</a>\nby Q
 ing Liu (Université de Bordeaux) as part of Luxembourg Number Theory Day 
 2024\n\nLecture held in Room MNO 1.030 in the Maison du Nombre building\, 
 Belval Campus.\n\nAbstract\nIn this talk I will explain how to apply Lipma
 n's method to resolve the singularities of double covers of regular surfac
 es. This leads in particular to an algorithm to finding a regular model ov
 er the ring of integers for hyperelliptic curves defined over the rational
  numbers. Such a regular model contains quite a few interesting informatio
 n concerning the arithmetical  properties of the curves.\n
LOCATION:https://researchseminars.org/talk/LNT2024/4/
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