BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Alexandre de Faveri (Stanford University)
DTSTART:20250114T210000Z
DTEND:20250114T220000Z
DTSTAMP:20260404T095037Z
UID:crgseminarwinter2025/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/crgse
 minarwinter2025/1/">Non-vanishing for cubic Hecke $L$-functions</a>\nby Al
 exandre de Faveri (Stanford University) as part of CRG Weekly Seminars\n\n
 \nAbstract\nI will discuss recent work with Chantal David\, Alexander Dunn
 \, and Joshua Stucky\, in which we prove that a positive proportion of Hec
 ke $L$-functions associated to the cubic residue symbol modulo square-free
  Eisenstein integers do not vanish at the central point. Our principal new
  contribution is the asymptotic evaluation of the mollified second moment.
  No such asymptotic formula was previously known for a cubic family (even 
 over function fields). \n\nOur new approach makes crucial use of Patterson
 's evaluation of the Fourier coefficients of the cubic metaplectic theta f
 unction\, Heath-Brown's cubic large sieve\, and a Lindelöf-on-average upp
 er bound for the second moment of cubic Dirichlet series that we establish
 . The significance of our result is that the family considered does not sa
 tisfy a perfectly orthogonal large sieve bound. This is quite unlike other
  families of Dirichlet $L$-functions for which unconditional results are k
 nown (namely the family of quadratic characters and the family of all Diri
 chlet characters modulo q). Consequently\, our proof has fundamentally dif
 ferent features from the corresponding works of Soundararajan and of Iwani
 ec and Sarnak.\n
LOCATION:https://stable.researchseminars.org/talk/crgseminarwinter2025/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emanuel Carneiro (ICTP (International Centre for Theoretical Physi
 cs))
DTSTART:20250121T180000Z
DTEND:20250121T190000Z
DTSTAMP:20260404T095037Z
UID:crgseminarwinter2025/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/crgse
 minarwinter2025/2/">Effective equidistribution of Galois orbits for mildly
  regular test functions</a>\nby Emanuel Carneiro (ICTP (International Cent
 re for Theoretical Physics)) as part of CRG Weekly Seminars\n\n\nAbstract\
 nWe provide a detailed study on effective versions of the celebrated Bilu'
 s equidistribution theorem for Galois orbits of sequences of points of sma
 ll height in the $N$-dimensional algebraic torus\, identifying the qualita
 tive dependence of the convergence in terms of the regularity of the test 
 functions considered. We develop a general Fourier analysis framework that
  extends previous results obtained by Petsche (2005)\, and by D'Andrea\, N
 arváez-Clauss and Sombra (2017). This is a joint work with Mithun Das (IC
 TP).\n
LOCATION:https://stable.researchseminars.org/talk/crgseminarwinter2025/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kim Klinger Logan (Kansas State University)
DTSTART:20250128T210000Z
DTEND:20250128T220000Z
DTSTAMP:20260404T095037Z
UID:crgseminarwinter2025/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/crgse
 minarwinter2025/3/">Convolution Sums from Trace Formulae</a>\nby Kim Kling
 er Logan (Kansas State University) as part of CRG Weekly Seminars\n\n\nAbs
 tract\nPreviously we found certain convolution sums of divisor functions a
 rising from physics yield Fourier coefficients of modular forms. In this t
 alk we will discuss the limitations of the current proof of these formulas
 . We will also explore the connection with the Petersson and Kuznetsov Tra
 ce Formulae and the possibility of extending these formulas to other cases
 . The work mentioned in this talk is in collaboration with Ksenia Fedosova
 \, Stephen D. Miller\, Danylo Radchenko\, and Don Zagier.\n
LOCATION:https://stable.researchseminars.org/talk/crgseminarwinter2025/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sun Kai (Ken) Leung (Université de Montréal)
DTSTART:20250304T210000Z
DTEND:20250304T220000Z
DTSTAMP:20260404T095037Z
UID:crgseminarwinter2025/5
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/crgse
 minarwinter2025/5/">Higher-order Titchmarsh problem via exceptional zeros<
 /a>\nby Sun Kai (Ken) Leung (Université de Montréal) as part of CRG Week
 ly Seminars\n\n\nAbstract\nThe higher-order Titchmarsh problem concerns th
 e correlation between higher divisor functions and primes. In this talk\, 
 I will explain how to derive an asymptotic formula for this correlation in
  appropriate ranges\, assuming the existence of a "strong" Landau-Siegel z
 ero. If time permits\, I will also briefly discuss my ongoing work on furt
 her illusory consequences.\n
LOCATION:https://stable.researchseminars.org/talk/crgseminarwinter2025/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Besfort Shala (University of Bristol)
DTSTART:20250311T200000Z
DTEND:20250311T210000Z
DTSTAMP:20260404T095037Z
UID:crgseminarwinter2025/6
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/crgse
 minarwinter2025/6/">Almost sure bounds for sums of random multiplicative f
 unctions</a>\nby Besfort Shala (University of Bristol) as part of CRG Week
 ly Seminars\n\n\nAbstract\nI will start with a survey on sums of random mu
 ltiplicative functions\, focusing on distributional questions and almost s
 ure upper bounds and $\\Omega$-results. In this context\, I will describe 
 previous work with Jake Chinis on a central limit theorem for correlations
  of Rademacher multiplicative functions\, as well as ongoing work on estab
 lishing almost sure sharp bounds for them.\n
LOCATION:https://stable.researchseminars.org/talk/crgseminarwinter2025/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dmitry Frolenkov (HSE University)
DTSTART:20250204T180000Z
DTEND:20250204T190000Z
DTSTAMP:20260404T095037Z
UID:crgseminarwinter2025/7
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/crgse
 minarwinter2025/7/">Moments of symmetric square $L$-functions</a>\nby Dmit
 ry Frolenkov (HSE University) as part of CRG Weekly Seminars\n\n\nAbstract
 \nI am going to discuss various results on moments of symmetric square $L$
 -functions and some of their applications.  I will mainly focus on a rece
 nt result of R. Khan and M. Young and our improvement of it. Khan and Youn
 g proved a mean Lindelöf estimate for the second moment of Maass form sym
 metric-square $L$-functions $L(\\textrm{sym}^2 u_{j}\,1/2+it)$  on the sh
 ort interval of length $G\\gg |t_j|^{1+\\epsilon}/t^{2/3}$\, where $t_j$ i
 s a spectral parameter of the corresponding Maass form. Their estimate yie
 lds a subconvexity estimate for $L(\\textrm{sym}^2 u_{j}\,1/2+it)$ as long
  as $|t_j|^{6/7+\\delta}\\ll t<(2-\\delta)|t_j|$. We  obtain a mean Lind
 elöf estimate for the same moment in shorter intervals\, namely for $G\\g
 g |t_j|^{1+\\epsilon}/t$. As a corollary\, we prove a subconvexity estimat
 e for $L(\\textrm{sym}^2 u_{j}\,1/2+it)$  on the interval $|t_j|^{2/3+\\d
 elta}\\ll t\\ll |t_j|^{6/7-\\delta}$. This is joint work with Olga Balkano
 va.\n
LOCATION:https://stable.researchseminars.org/talk/crgseminarwinter2025/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sumaia Saad Eddin (RICAM (Johann Radon Institute for Computational
  and Applied Mathematics))
DTSTART:20250325T170000Z
DTEND:20250325T180000Z
DTSTAMP:20260404T095037Z
UID:crgseminarwinter2025/8
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/crgse
 minarwinter2025/8/">A Survey on the Evaluation of Dirichlet $L$-Functions 
 and Their Logarithmic Derivatives on the Line $\\Re (s)=1$</a>\nby Sumaia 
 Saad Eddin (RICAM (Johann Radon Institute for Computational and Applied Ma
 thematics)) as part of CRG Weekly Seminars\n\n\nAbstract\nThe values of Di
 richlet $L$-functions at $s = 1$ have long attracted considerable attentio
 n due to their deep algebraic and geometric significance. In contrast\, th
 e logarithmic derivatives of Dirichlet $L$-functions at $s = 1$\, which pl
 ay a key role in the study of prime distribution\, remain less thoroughly 
 understood despite their importance\, a topic of interest since Dirichlet'
 s groundbreaking work in 1837.\n\nIn this talk\, we survey known results o
 n the evaluation of Dirichlet $L$-functions and their logarithmic derivati
 ves at $s = 1 + i t_0$\, for a fixed real number $t_0$.\n
LOCATION:https://stable.researchseminars.org/talk/crgseminarwinter2025/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arshay Sheth (University of Warwick)
DTSTART:20250225T210000Z
DTEND:20250225T220000Z
DTSTAMP:20260404T095037Z
UID:crgseminarwinter2025/9
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/crgse
 minarwinter2025/9/">Euler products inside the critical strip</a>\nby Arsha
 y Sheth (University of Warwick) as part of CRG Weekly Seminars\n\n\nAbstra
 ct\nEven though Euler products of $L$-functions are generally valid only t
 o the right of the critical strip\, there is a strong sense in which they 
 should persist even inside the critical strip. Indeed\, the behaviour of E
 uler products inside the critical strip is very closely related to several
  major problems in number theory including the Riemann Hypothesis and the 
 Birch and Swinnerton-Dyer conjecture. In this talk\, we will give an intro
 duction to this topic and then discuss recent work on establishing asympto
 tics for partial Euler products of $L$-functions in the critical strip. We
  will end by giving applications of these results to questions related to 
 Chebyshev's bias.\n
LOCATION:https://stable.researchseminars.org/talk/crgseminarwinter2025/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Antonio Pedro Ramos (SISSA (Scuola Internazionale Superiore di Stu
 di Avanzati))
DTSTART:20250401T170000Z
DTEND:20250401T180000Z
DTSTAMP:20260404T095037Z
UID:crgseminarwinter2025/10
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/crgse
 minarwinter2025/10/">Zeros of $L$-functions in low-lying intervals and de 
 Branges spaces</a>\nby Antonio Pedro Ramos (SISSA (Scuola Internazionale S
 uperiore di Studi Avanzati)) as part of CRG Weekly Seminars\n\n\nAbstract\
 nWe consider a variant of a problem first introduced by Hughes and Rudnick
  (2003) and generalized by Bernard (2015) concerning conditional bounds fo
 r small first zeros in a family of $L$-functions. Here we seek to estimate
  the size of the smallest intervals centered at a low-lying height for whi
 ch we can guarantee the existence of a zero in a family of $L$-functions. 
 This leads us to consider an extremal problem in analysis which we address
  by applying the framework of de Branges spaces\, introduced in this conte
 xt by Carneiro\, Chirre\, and Milinovich (2022).\n
LOCATION:https://stable.researchseminars.org/talk/crgseminarwinter2025/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kübra Benli
DTSTART:20250318T200000Z
DTEND:20250318T210000Z
DTSTAMP:20260404T095037Z
UID:crgseminarwinter2025/11
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/crgse
 minarwinter2025/11/">Explicit Deuring-Heilbronn phenomenon for Dirichlet $
 L$-functions</a>\nby Kübra Benli as part of CRG Weekly Seminars\n\n\nAbst
 ract\nDeuring-Heilbronnn phenomenon\, quantitatively established by Linnik
  in 1944\, describes how the existence of a Landau-Siegel zero\, which is 
 real and near $s=1$\, affects the location of the rest of the zeros of the
  Dirichlet $L$-functions to the same modulus. In this talk\, we discuss an
  explicit version of this phenomenon based on our work initiated in the su
 mmer school "Inclusive Paths in Explicit Number Theory" with Asif Zaman\, 
 Shivani Goel\, and Henry Twiss.\n
LOCATION:https://stable.researchseminars.org/talk/crgseminarwinter2025/11/
END:VEVENT
END:VCALENDAR