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BEGIN:VEVENT
SUMMARY:Alexander Walker (University College London)
DTSTART:20220112T140000Z
DTEND:20220112T153000Z
DTSTAMP:20260404T095118Z
UID:LANTSG/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LANTS
 G/1/">The Bombieri-Vinogradov Theorem</a>\nby Alexander Walker (University
  College London) as part of London ANT Study Group\n\n\nAbstract\nThe Sieg
 el-Walfisz theorem gives a main term and error for the number of primes up
  to $X$ in a given congruence class.  The error term is weak\, but improve
 s if one assumes the generalized Riemann hypothesis (GRH).  If we average 
 over a range of moduli $q \\leq Q$\, we can improve the Siegel-Walfisz err
 or term to roughly match what one expects from GRH. This major result is t
 he Bombieri-Vinogradov theorem. In this talk\, we introduce the Bombieri-V
 inogradov theorem and explain how it derives from the large sieve.  This i
 s the first lecture in our series on Maynard's recent papers extending the
  Bombieri-Vinogradov theorem to moduli $q > \\sqrt{X}$ (under certain assu
 mptions on $q$).\n
LOCATION:https://stable.researchseminars.org/talk/LANTSG/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Louis Gaudet (Rutgers University)
DTSTART:20220119T140000Z
DTEND:20220119T153000Z
DTSTAMP:20260404T095118Z
UID:LANTSG/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LANTS
 G/2/">A Broad Overview of Maynard's Primes in Arithmetic Progression to La
 rge Moduli: I</a>\nby Louis Gaudet (Rutgers University) as part of London 
 ANT Study Group\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/LANTSG/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marios Voskou (University College London)
DTSTART:20220126T140000Z
DTEND:20220126T153000Z
DTSTAMP:20260404T095118Z
UID:LANTSG/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LANTS
 G/3/">Prime-Detecting Sieves</a>\nby Marios Voskou (University College Lon
 don) as part of London ANT Study Group\n\n\nAbstract\nThe first step in th
 e proof of Maynard's main theorem in "Primes in Arithmetic Progression to 
 Large Moduli: I" is a sieve decomposition of the primes. This is accomplis
 hed via Harman's sieve\, though Maynard remarks that the Heath-Brown ident
 ity would serve a similar purpose.  This talk discusses Harman's sieve\, o
 ther combinatorial descriptions of the primes\, and the material of §7 of
  Maynard's paper.\n
LOCATION:https://stable.researchseminars.org/talk/LANTSG/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Walker
DTSTART:20220202T140000Z
DTEND:20220202T153000Z
DTSTAMP:20260404T095118Z
UID:LANTSG/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LANTS
 G/4/">Linnik's Dispersion Method</a>\nby Alexander Walker as part of Londo
 n ANT Study Group\n\n\nAbstract\nAfter applying Harman's sieve\, Maynard r
 educes his four key propositions (Props 7.1-7.4) to estimates involving ex
 ponential sums. The final step of this reduction is based on Linnik's disp
 ersion method. In this talk\, I will introduce the dispersion method and d
 emonstrate its use in the work of Bombieri-Friedlander-Iwaniec and Maynard
 .\n
LOCATION:https://stable.researchseminars.org/talk/LANTSG/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chung-Hang Kwan (Columbia University)
DTSTART:20220209T140000Z
DTEND:20220209T153000Z
DTSTAMP:20260404T095118Z
UID:LANTSG/5
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LANTS
 G/5/">Fouvry-Style Exponential Sum Estimates</a>\nby Chung-Hang Kwan (Colu
 mbia University) as part of London ANT Study Group\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/LANTSG/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Walker
DTSTART:20220223T140000Z
DTEND:20220223T153000Z
DTSTAMP:20260404T095118Z
UID:LANTSG/6
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LANTS
 G/6/">Zhang-Style Exponential Sum Estimates</a>\nby Alexander Walker as pa
 rt of London ANT Study Group\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/LANTSG/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20220302T140000Z
DTEND:20220302T153000Z
DTSTAMP:20260404T095118Z
UID:LANTSG/7
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LANTS
 G/7/">Background on Work of Bombieri-Friedlander-Iwaniec</a>\nby TBA as pa
 rt of London ANT Study Group\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/LANTSG/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jesse Jääsaari
DTSTART:20220309T140000Z
DTEND:20220309T153000Z
DTSTAMP:20260404T095118Z
UID:LANTSG/8
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LANTS
 G/8/">Bombieri-Friedlander-Iwaniec-Style Exponential Sum Estimates</a>\nby
  Jesse Jääsaari as part of London ANT Study Group\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/LANTSG/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Aled Walker (King's College London)
DTSTART:20220316T140000Z
DTEND:20220316T153000Z
DTSTAMP:20260404T095118Z
UID:LANTSG/9
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LANTS
 G/9/">Triple Divisor Function Estimates</a>\nby Aled Walker (King's Colleg
 e London) as part of London ANT Study Group\n\n\nAbstract\nThis lecture di
 scusses Maynard's refinements to earlier work on triple divisor function e
 stimates\, which are needed to understand convolutions of three terms in t
 he initial treatment of Maynard's main theorem via Harman's sieve.  These 
 results rely on estimates for hyper-Kloosterman sums which follow from Del
 igne's resolution of Weil conjectures.\n
LOCATION:https://stable.researchseminars.org/talk/LANTSG/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Natalie Evans (King's College London)
DTSTART:20220323T140000Z
DTEND:20220323T153000Z
DTSTAMP:20260404T095118Z
UID:LANTSG/10
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/LANTS
 G/10/">A Broad Overview of Maynard's Primes in Arithmetic Progression to L
 arge Moduli: II</a>\nby Natalie Evans (King's College London) as part of L
 ondon ANT Study Group\n\n\nAbstract\nThis lecture gives an overview of May
 nard's second of three papers on primes in arithmetic progression\, which 
 builds on work of Bombieri-Friedlander-Iwaniec to prove Bombieri-Vinogrado
 v-type results for moduli as large as $x^{3/5}$\, when summed with "well-f
 actorable" weights.\n
LOCATION:https://stable.researchseminars.org/talk/LANTSG/10/
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