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SUMMARY:Caroline Turnage-Butterbaugh (Carleton College)
DTSTART;VALUE=DATE-TIME:20220922T160000Z
DTEND;VALUE=DATE-TIME:20220922T170000Z
DTSTAMP;VALUE=DATE-TIME:20220927T051746Z
UID:frggradseminar/1
DESCRIPTION:Title: Moments of Dirichlet L-functions\nby Caroline Turnage-Butterbau
gh (Carleton College) as part of FRG Grad Seminar (Averages of of L-functi
ons and Arithmetic Stratification)\n\n\nAbstract\nIn recent decades there
has been much interest and measured progress in the study of moments of L-
functions. Despite a great deal of effort spanning over a century\, asympt
otic formulas for moments of L-functions remain stubbornly out of reach in
all but a few cases. I will begin this talk by reviewing what is known fo
r moments of the Riemann zeta-function on the critical line\, and we will
then consider the problem for the family of all Dirichlet L-functions of e
ven primitive characters of bounded conductor. A heuristic of Conrey\, Far
mer\, Keating\, Rubenstein\, and Snaith gives a precise prediction for the
asymptotic formula for the general 2kth moment of this family. I will out
line how to harness the asymptotic large sieve to prove an asymptotic form
ula for the general 2kth moment of approximations of this family. The resu
lt\, which assumes the generalized Lindelöf hypothesis for large values o
f k\, agrees with the prediction of CFKRS. Moreover\, it provides the firs
t rigorous evidence beyond the so-called “diagonal terms” in their con
jectured asymptotic formula for this family of L-functions. This is joint
work with Siegfred Baluyot.\n
LOCATION:https://researchseminars.org/talk/frggradseminar/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hua Lin (UC Irvine)
DTSTART;VALUE=DATE-TIME:20220926T160000Z
DTEND;VALUE=DATE-TIME:20220926T170000Z
DTSTAMP;VALUE=DATE-TIME:20220927T051746Z
UID:frggradseminar/3
DESCRIPTION:Title: One-level density of zeros of Dirichlet L-function over function fi
elds\nby Hua Lin (UC Irvine) as part of FRG Grad Seminar (Averages of
of L-functions and Arithmetic Stratification)\n\n\nAbstract\nFor this talk
\, we compute the one-level density of zeros of cubic and quartic Dirichle
t $L$-functions over function fields $\\mathbb{F}_q[t]$ in the Kummer sett
ing ($q\\equiv1\\pmod{\\ell}$) and for order $\\ell=3\,4\,6$ in the non-Ku
mmer setting ($q\\not\\equiv1\\pmod{\\ell}$). In each case\, we obtain a m
ain term predicted by Random Matrix Theory (RMT) and a lower order term no
t predicted by RMT. We also confirm the symmetry type of the family is uni
tary\, supporting the Katz and Sarnak philosophy. I will first talk about
some history and background on the subject\, make the analogy and describe
the primitive characters over function fields in each setting\, and then
show the computation in more detail.\n
LOCATION:https://researchseminars.org/talk/frggradseminar/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Louis Gaudet (Rutgers University)
DTSTART;VALUE=DATE-TIME:20221003T160000Z
DTEND;VALUE=DATE-TIME:20221003T170000Z
DTSTAMP;VALUE=DATE-TIME:20220927T051746Z
UID:frggradseminar/4
DESCRIPTION:by Louis Gaudet (Rutgers University) as part of FRG Grad Semin
ar (Averages of of L-functions and Arithmetic Stratification)\n\nAbstract:
TBA\n
LOCATION:https://researchseminars.org/talk/frggradseminar/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lasse Grimmelt (University of Oxford)
DTSTART;VALUE=DATE-TIME:20221010T160000Z
DTEND;VALUE=DATE-TIME:20221010T170000Z
DTSTAMP;VALUE=DATE-TIME:20220927T051746Z
UID:frggradseminar/5
DESCRIPTION:by Lasse Grimmelt (University of Oxford) as part of FRG Grad S
eminar (Averages of of L-functions and Arithmetic Stratification)\n\nAbstr
act: TBA\n
LOCATION:https://researchseminars.org/talk/frggradseminar/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dan Goldston (San José State University)
DTSTART;VALUE=DATE-TIME:20221017T160000Z
DTEND;VALUE=DATE-TIME:20221017T170000Z
DTSTAMP;VALUE=DATE-TIME:20220927T051746Z
UID:frggradseminar/6
DESCRIPTION:by Dan Goldston (San José State University) as part of FRG Gr
ad Seminar (Averages of of L-functions and Arithmetic Stratification)\n\nA
bstract: TBA\n
LOCATION:https://researchseminars.org/talk/frggradseminar/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:George Dickinson (University of Manchester)
DTSTART;VALUE=DATE-TIME:20221024T160000Z
DTEND;VALUE=DATE-TIME:20221024T170000Z
DTSTAMP;VALUE=DATE-TIME:20220927T051746Z
UID:frggradseminar/7
DESCRIPTION:by George Dickinson (University of Manchester) as part of FRG
Grad Seminar (Averages of of L-functions and Arithmetic Stratification)\n\
nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/frggradseminar/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emma Bailey (CUNY)
DTSTART;VALUE=DATE-TIME:20221031T160000Z
DTEND;VALUE=DATE-TIME:20221031T170000Z
DTSTAMP;VALUE=DATE-TIME:20220927T051746Z
UID:frggradseminar/8
DESCRIPTION:by Emma Bailey (CUNY) as part of FRG Grad Seminar (Averages of
of L-functions and Arithmetic Stratification)\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/frggradseminar/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daodao Yang (TU Graz)
DTSTART;VALUE=DATE-TIME:20221107T170000Z
DTEND;VALUE=DATE-TIME:20221107T180000Z
DTSTAMP;VALUE=DATE-TIME:20220927T051746Z
UID:frggradseminar/9
DESCRIPTION:by Daodao Yang (TU Graz) as part of FRG Grad Seminar (Averages
of of L-functions and Arithmetic Stratification)\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/frggradseminar/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jakob Streipel (University of Maine)
DTSTART;VALUE=DATE-TIME:20221114T170000Z
DTEND;VALUE=DATE-TIME:20221114T180000Z
DTSTAMP;VALUE=DATE-TIME:20220927T051746Z
UID:frggradseminar/10
DESCRIPTION:by Jakob Streipel (University of Maine) as part of FRG Grad Se
minar (Averages of of L-functions and Arithmetic Stratification)\n\nAbstra
ct: TBA\n
LOCATION:https://researchseminars.org/talk/frggradseminar/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Dunn (Caltech)
DTSTART;VALUE=DATE-TIME:20221121T170000Z
DTEND;VALUE=DATE-TIME:20221121T180000Z
DTSTAMP;VALUE=DATE-TIME:20220927T051746Z
UID:frggradseminar/11
DESCRIPTION:by Alexander Dunn (Caltech) as part of FRG Grad Seminar (Avera
ges of of L-functions and Arithmetic Stratification)\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/frggradseminar/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Aled Walker (King's College\, London)
DTSTART;VALUE=DATE-TIME:20221128T170000Z
DTEND;VALUE=DATE-TIME:20221128T180000Z
DTSTAMP;VALUE=DATE-TIME:20220927T051746Z
UID:frggradseminar/12
DESCRIPTION:by Aled Walker (King's College\, London) as part of FRG Grad S
eminar (Averages of of L-functions and Arithmetic Stratification)\n\nAbstr
act: TBA\n
LOCATION:https://researchseminars.org/talk/frggradseminar/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Asif Zaman (University of Toronto)
DTSTART;VALUE=DATE-TIME:20221205T170000Z
DTEND;VALUE=DATE-TIME:20221205T180000Z
DTSTAMP;VALUE=DATE-TIME:20220927T051746Z
UID:frggradseminar/13
DESCRIPTION:by Asif Zaman (University of Toronto) as part of FRG Grad Semi
nar (Averages of of L-functions and Arithmetic Stratification)\n\nAbstract
: TBA\n
LOCATION:https://researchseminars.org/talk/frggradseminar/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Dobner (University of Michigan)
DTSTART;VALUE=DATE-TIME:20221212T170000Z
DTEND;VALUE=DATE-TIME:20221212T180000Z
DTSTAMP;VALUE=DATE-TIME:20220927T051746Z
UID:frggradseminar/14
DESCRIPTION:by Alexander Dobner (University of Michigan) as part of FRG Gr
ad Seminar (Averages of of L-functions and Arithmetic Stratification)\n\nA
bstract: TBA\n
LOCATION:https://researchseminars.org/talk/frggradseminar/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nathan Ng (University of Lethbridge)
DTSTART;VALUE=DATE-TIME:20230123T170000Z
DTEND;VALUE=DATE-TIME:20230123T180000Z
DTSTAMP;VALUE=DATE-TIME:20220927T051746Z
UID:frggradseminar/15
DESCRIPTION:by Nathan Ng (University of Lethbridge) as part of FRG Grad Se
minar (Averages of of L-functions and Arithmetic Stratification)\n\nAbstra
ct: TBA\n
LOCATION:https://researchseminars.org/talk/frggradseminar/15/
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