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SUMMARY:Anne-Marie Aubert (Sorbonne Université and Université Paris Cit
 é)
DTSTART:20241218T103000Z
DTEND:20241218T111500Z
DTSTAMP:20260404T131143Z
UID:LNT2024/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LNT20
 24/1/">Stable blocks en enhanced Langlands parameters</a>\nby Anne-Marie A
 ubert (Sorbonne Université and Université Paris Cité) as part of Luxemb
 ourg Number Theory Day 2024\n\nLecture held in Room MNO 1.030 in the Maiso
 n du Nombre building\, Belval Campus.\n\nAbstract\nThe decomposition into 
 Bernstein blocks of the category of smooth representations of a p-adic gro
 up G admits a Galois analogue in terms of enhanced L-parameters\, in which
  the role of supercuspidal representations is played by « cuspidal » enh
 anced L-parameters\, a notion that originates in the construction by Luszt
 ig of the generalized Springer correspondence.\n\nWe will formulate suffic
 ient conditions to be satisfied by the local Langlands correspondence for 
 the supercuspidal representations of the Levi subgroups of G in order to a
 llow to construct a canonical bijection between the associated blocks on b
 oth sides. \n\nNext\,  when these conditions are satisfied\, we will expla
 in how to gather these blocks together into bigger ones that are unions of
  L-packets.\n
LOCATION:https://stable.researchseminars.org/talk/LNT2024/1/
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SUMMARY:Jayce Robert Getz (Duke University)
DTSTART:20241218T091500Z
DTEND:20241218T100000Z
DTSTAMP:20260404T131143Z
UID:LNT2024/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LNT20
 24/2/">Triple product L-functions: first reduction</a>\nby Jayce Robert Ge
 tz (Duke University) as part of Luxembourg Number Theory Day 2024\n\nLectu
 re held in Room MNO 1.030 in the Maison du Nombre building\, Belval Campus
 .\n\nAbstract\nI will describe a period integral that unfolds to the tripl
 e product L-function times L-functions whose analytic properties are under
 stood.  Motivated by the period integral\, I will then formulate an exten
 sion of the Poisson summation conjecture of  Braverman-Kazhdan\, L. Laffo
 rgue\, Ngo\, and Sakellaridis that implies the expected analytic propertie
 s of triple product L-functions. Time permitting\, I will explain how to r
 educe this case of the Poisson summation conjecture to a simpler case in w
 hich spectral methods can be employed together with certain local compatib
 ility statements.  This is joint work with P. Gu\, C-H. Hsu\, and S. Lesl
 ie.\n
LOCATION:https://stable.researchseminars.org/talk/LNT2024/2/
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SUMMARY:Alfio Fabio La Rosa (University of Luxembourg)
DTSTART:20241218T131500Z
DTEND:20241218T140000Z
DTSTAMP:20260404T131143Z
UID:LNT2024/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LNT20
 24/3/">Arithmetic applications of the trace formula and asymptotic orthogo
 nality of tempered representations</a>\nby Alfio Fabio La Rosa (University
  of Luxembourg) as part of Luxembourg Number Theory Day 2024\n\nLecture he
 ld in Room MNO 1.030 in the Maison du Nombre building\, Belval Campus.\n\n
 Abstract\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. G
 ee that every C-algebraic automorphic representation of a connected reduct
 ive algebraic group defined over a number field is C-arithmetic. In the se
 cond part\, I will present a joint work with Anne-Marie Aubert dedicated t
 o the proof of the Archimedean case of the asymptotic form of Schur's orth
 ogonality for K-finite matrix coefficients of tempered representations of 
 semisimple groups proposed by D. Kazhdan and A. Yom Din.\n
LOCATION:https://stable.researchseminars.org/talk/LNT2024/3/
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SUMMARY:Qing Liu (Université de Bordeaux)
DTSTART:20241218T081500Z
DTEND:20241218T090000Z
DTSTAMP:20260404T131143Z
UID:LNT2024/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LNT20
 24/4/">Resolution of singularities of double covers of regular surfaces</a
 >\nby Qing Liu (Université de Bordeaux) as part of Luxembourg Number Theo
 ry Day 2024\n\nLecture held in Room MNO 1.030 in the Maison du Nombre buil
 ding\, Belval Campus.\n\nAbstract\nIn this talk I will explain how to appl
 y Lipman's method to resolve the singularities of double covers of regular
  surfaces. This leads in particular to an algorithm to finding a regular m
 odel over the ring of integers for hyperelliptic curves defined over the r
 ational numbers. Such a regular model contains quite a few interesting inf
 ormation concerning the arithmetical  properties of the curves.\n
LOCATION:https://stable.researchseminars.org/talk/LNT2024/4/
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