scholarly journals Epsilon factors as algebraic characters on the smooth dual of $\mathrm {GL}_n$

2020 ◽  
Vol 120 ◽  
pp. 11-21
Author(s):  
Roger Plymen
Keyword(s):  
Epsilon Factors

scholarly journals Endoscopie et conjecture locale raffinée de Gan–Gross–Prasad pour les groupes unitaires

2015 ◽  
Vol 151 (7) ◽  
pp. 1309-1371 ◽  
Author(s):  
R. Beuzart-Plessis
Keyword(s):  
Unitary Groups ◽  
Branching Laws ◽  
Epsilon Factors

Under endoscopic assumptions about $L$-packets of unitary groups, we prove the local Gan–Gross–Prasad conjecture for tempered representations of unitary groups over $p$-adic fields. Roughly, this conjecture says that branching laws for $U(n-1)\subset U(n)$ can be computed using epsilon factors.

scholarly journals Product formula for p -adic epsilon factors

2014 ◽  
Vol 14 (2) ◽  
pp. 275-377 ◽  
Author(s):  
Tomoyuki Abe ◽  
Adriano Marmora
Keyword(s):  
Finite Field ◽  
Stationary Phase ◽  
Product Formula ◽  
Formula One ◽  
Etale Cohomology ◽  
Rigid Cohomology ◽  
Étale Cohomology ◽  
Analogous Formula ◽  
Epsilon Factors

AbstractLet $X$ be a smooth proper curve over a finite field of characteristic $p$. We prove a product formula for $p$-adic epsilon factors of arithmetic $\mathscr{D}$-modules on $X$. In particular we deduce the analogous formula for overconvergent $F$-isocrystals, which was conjectured previously. The $p$-adic product formula is a counterpart in rigid cohomology of the Deligne–Laumon formula for epsilon factors in $\ell$-adic étale cohomology (for $\ell \neq p$). One of the main tools in the proof of this $p$-adic formula is a theorem of regular stationary phase for arithmetic $\mathscr{D}$-modules that we prove by microlocal techniques.

scholarly journals Twisting formula of epsilon factors

2017 ◽  
Vol 127 (4) ◽  
pp. 585-598
Author(s):  
Sazzad Ali Biswas
Keyword(s):  
Epsilon Factors

scholarly journals A Converse Theorem for Epsilon Factors

2001 ◽  
Vol 89 (2) ◽  
pp. 308-323 ◽  
Author(s):  
P.Anuradha Kameswari ◽  
Rajat Tandon
Keyword(s):  
Converse Theorem ◽  
Epsilon Factors

Theta dichotomy and doubling epsilon factors for Sp͠n(F)

2011 ◽  
Vol 133 (5) ◽  
pp. 1313-1364 ◽  
Author(s):  
Christian Zorn
Keyword(s):  
Epsilon Factors

scholarly journals On the realization of maximal simple types and epsilon factors of pairs

2008 ◽  
Vol 130 (5) ◽  
pp. 1211-1261 ◽  
Author(s):  
Vytautas Paskunas ◽  
Shaun Stevens
Keyword(s):  
Epsilon Factors

scholarly journals Relating invariant linear form and local epsilon factors via global methods

2007 ◽  
Vol 138 (2) ◽  
pp. 233-261 ◽  
Author(s):  
Dipendra Prasad ◽  
Hiroshi Saito
Keyword(s):  
Linear Form ◽  
Epsilon Factors
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