BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alexander Walker (University College London) DTSTART:20220112T140000Z DTEND:20220112T153000Z DTSTAMP:20260422T212731Z UID:LANTSG/1 DESCRIPTION:Title: T he Bombieri-Vinogradov Theorem\nby Alexander Walker (University Colleg e London) as part of London ANT Study Group\n\n\nAbstract\nThe Siegel-Walf isz 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 improves if on e assumes the generalized Riemann hypothesis (GRH). If we average over a range of moduli $q \\leq Q$\, we can improve the Siegel-Walfisz error term to roughly match what one expects from GRH. This major result is the Bomb ieri-Vinogradov theorem. In this talk\, we introduce the Bombieri-Vinograd ov theorem and explain how it derives from the large sieve. This is the f irst lecture in our series on Maynard's recent papers extending the Bombie ri-Vinogradov theorem to moduli $q > \\sqrt{X}$ (under certain assumptions on $q$).\n LOCATION:https://researchseminars.org/talk/LANTSG/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Louis Gaudet (Rutgers University) DTSTART:20220119T140000Z DTEND:20220119T153000Z DTSTAMP:20260422T212731Z UID:LANTSG/2 DESCRIPTION:Title: A Broad Overview of Maynard's Primes in Arithmetic Progression to Large Mod uli: I\nby Louis Gaudet (Rutgers University) as part of London ANT Stu dy Group\n\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/LANTSG/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Marios Voskou (University College London) DTSTART:20220126T140000Z DTEND:20220126T153000Z DTSTAMP:20260422T212731Z UID:LANTSG/3 DESCRIPTION:Title: P rime-Detecting Sieves\nby Marios Voskou (University College London) as part of London ANT Study Group\n\n\nAbstract\nThe first step in the proof of Maynard's main theorem in "Primes in Arithmetic Progression to Large M oduli: I" is a sieve decomposition of the primes. This is accomplished via Harman's sieve\, though Maynard remarks that the Heath-Brown identity wou ld serve a similar purpose. This talk discusses Harman's sieve\, other co mbinatorial descriptions of the primes\, and the material of §7 of Maynar d's paper.\n LOCATION:https://researchseminars.org/talk/LANTSG/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Alexander Walker DTSTART:20220202T140000Z DTEND:20220202T153000Z DTSTAMP:20260422T212731Z UID:LANTSG/4 DESCRIPTION:Title: L innik's Dispersion Method\nby Alexander Walker as part of London ANT S tudy Group\n\n\nAbstract\nAfter applying Harman's sieve\, Maynard reduces his four key propositions (Props 7.1-7.4) to estimates involving exponenti al sums. The final step of this reduction is based on Linnik's dispersion method. In this talk\, I will introduce the dispersion method and demonstr ate its use in the work of Bombieri-Friedlander-Iwaniec and Maynard.\n LOCATION:https://researchseminars.org/talk/LANTSG/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Chung-Hang Kwan (Columbia University) DTSTART:20220209T140000Z DTEND:20220209T153000Z DTSTAMP:20260422T212731Z UID:LANTSG/5 DESCRIPTION:Title: F ouvry-Style Exponential Sum Estimates\nby Chung-Hang Kwan (Columbia Un iversity) as part of London ANT Study Group\n\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/LANTSG/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Alexander Walker DTSTART:20220223T140000Z DTEND:20220223T153000Z DTSTAMP:20260422T212731Z UID:LANTSG/6 DESCRIPTION:Title: Z hang-Style Exponential Sum Estimates\nby Alexander Walker as part of L ondon ANT Study Group\n\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/LANTSG/6/ END:VEVENT BEGIN:VEVENT SUMMARY:TBA DTSTART:20220302T140000Z DTEND:20220302T153000Z DTSTAMP:20260422T212731Z UID:LANTSG/7 DESCRIPTION:Title: B ackground on Work of Bombieri-Friedlander-Iwaniec\nby TBA as part of L ondon ANT Study Group\n\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/LANTSG/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Jesse Jääsaari DTSTART:20220309T140000Z DTEND:20220309T153000Z DTSTAMP:20260422T212731Z UID:LANTSG/8 DESCRIPTION:Title: B ombieri-Friedlander-Iwaniec-Style Exponential Sum Estimates\nby Jesse Jääsaari as part of London ANT Study Group\n\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/LANTSG/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Aled Walker (King's College London) DTSTART:20220316T140000Z DTEND:20220316T153000Z DTSTAMP:20260422T212731Z UID:LANTSG/9 DESCRIPTION:Title: T riple Divisor Function Estimates\nby Aled Walker (King's College Londo n) as part of London ANT Study Group\n\n\nAbstract\nThis lecture discusses Maynard's refinements to earlier work on triple divisor function estimate s\, which are needed to understand convolutions of three terms in the init ial treatment of Maynard's main theorem via Harman's sieve. These results rely on estimates for hyper-Kloosterman sums which follow from Deligne's resolution of Weil conjectures.\n LOCATION:https://researchseminars.org/talk/LANTSG/9/ END:VEVENT BEGIN:VEVENT SUMMARY:Natalie Evans (King's College London) DTSTART:20220323T140000Z DTEND:20220323T153000Z DTSTAMP:20260422T212731Z UID:LANTSG/10 DESCRIPTION:Title: A Broad Overview of Maynard's Primes in Arithmetic Progression to Large Mo duli: II\nby Natalie Evans (King's College London) as part of London A NT Study Group\n\n\nAbstract\nThis lecture gives an overview of Maynard's second of three papers on primes in arithmetic progression\, which builds on work of Bombieri-Friedlander-Iwaniec to prove Bombieri-Vinogradov-type results for moduli as large as $x^{3/5}$\, when summed with "well-factorab le" weights.\n LOCATION:https://researchseminars.org/talk/LANTSG/10/ END:VEVENT END:VCALENDAR