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BEGIN:VEVENT
SUMMARY:Arvind Ayyer (IISc\, Bangalore)
DTSTART;VALUE=DATE-TIME:20200618T103000Z
DTEND;VALUE=DATE-TIME:20200618T113000Z
DTSTAMP;VALUE=DATE-TIME:20200812T031418Z
UID:SF-and-nt/1
DESCRIPTION:Title: The Monopole-Dimer Model\nby Arvind Ayyer (IISc\, Banga
lore) as part of Special Functions and Number Theory seminar\n\nAbstract:
TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hjalmar Rosengren (Chalmers University of Technology and the Unive
rsity of Gothenburg)
DTSTART;VALUE=DATE-TIME:20200702T092500Z
DTEND;VALUE=DATE-TIME:20200702T103000Z
DTSTAMP;VALUE=DATE-TIME:20200812T031418Z
UID:SF-and-nt/2
DESCRIPTION:Title: On the Kanade-Russell identities\nby Hjalmar Rosengren
(Chalmers University of Technology and the University of Gothenburg) as pa
rt of Special Functions and Number Theory seminar\n\n\nAbstract\nKanade an
d Russell conjectured several Rogers-Ramanujan-type identities for triple
series. Some of these conjectures are related to characters of affine Lie
algebras\, and they can all be interpreted combinatorially in terms of par
titions. Many of these conjectures were settled by Bringmann\, Jennings-Sh
affer and Mahlburg. We describe a new approach to the Kanade-Russell ident
ities\, which leads to new proofs of five previously known identities\, as
well as four identities that were still open. For the new cases\, we need
quadratic transformations for q-orthogonal polynomials.\n
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BEGIN:VEVENT
SUMMARY:Ali Uncu (RICAM\, Austrian Academy of Sciences)
DTSTART;VALUE=DATE-TIME:20200716T093000Z
DTEND;VALUE=DATE-TIME:20200716T103000Z
DTSTAMP;VALUE=DATE-TIME:20200812T031418Z
UID:SF-and-nt/3
DESCRIPTION:Title: The Mathematica package qFunctions for q-series and par
tition theory applications\nby Ali Uncu (RICAM\, Austrian Academy of Scien
ces) as part of Special Functions and Number Theory seminar\n\n\nAbstract\
nIn this talk\, I will demonstrate the new Mathematica package qFunctions
while providing relevant mathematical context. This implementation has sym
bolic tools to automate some tedious and error-prone calculations and it a
lso includes some other functionality for experimentation. We plan to high
light the four main tool-sets included in the qFunctions package:\n\n(1) T
he q-difference equation (or recurrence) guesser and some formal manipulat
ion tools\,\n(2) the treatment of the method of weighted words and automat
ically finding and uncoupling recurrences\,\n\n(3) a method on the cylindr
ical partitions to establish sum-product identities\,\n(4) fitting polynom
ials with suggested well-known objects to guess closed formulas.\n\nThis t
alk is based on joint work with Jakob Ablinger (RISC).\n
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BEGIN:VEVENT
SUMMARY:Alok Shukla (Ahmedabad University)
DTSTART;VALUE=DATE-TIME:20200730T102500Z
DTEND;VALUE=DATE-TIME:20200730T113000Z
DTSTAMP;VALUE=DATE-TIME:20200812T031418Z
UID:SF-and-nt/4
DESCRIPTION:Title: Tiling proofs of Jacobi triple product and Rogers-Raman
ujan identities\nby Alok Shukla (Ahmedabad University) as part of Special
Functions and Number Theory seminar\n\n\nAbstract\nThe Jacobi triple produ
ct identity and Rogers-Ramanujan identities are among the most famous q-se
ries identities. We will present elementary combinatorial "tiling proofs"
of these results. The talk should be accessible to a general mathematical
audience.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fatma Cicek (IIT\, Gandhinagar)
DTSTART;VALUE=DATE-TIME:20200813T103000Z
DTEND;VALUE=DATE-TIME:20200813T113000Z
DTSTAMP;VALUE=DATE-TIME:20200812T031418Z
UID:SF-and-nt/5
DESCRIPTION:Title: On the logarithm of the Riemann zeta-function near the
nontrivial zeros\nby Fatma Cicek (IIT\, Gandhinagar) as part of Special Fu
nctions and Number Theory seminar\n\n\nAbstract\nSelberg's central limit t
heorem is one of the most significant probabilistic results in analytic nu
mber theory. Roughly\, it states that the logarithm of the Riemann zeta-fu
nction on and near the critical line has an approximate two-dimensional Ga
ussian distribution.\n\nIn this talk\, we will talk about our recent resul
t which states that the distribution of the logarithm of the Riemann zeta-
function near the sequence of the nontrivial zeros has a similar central l
imit theorem. Our results are conditional on the Riemann Hypothesis and/or
suitable zero-spacing hypotheses. They also have suitable generalizations
to Dirichlet $L$-functions.\n
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