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SUMMARY:Jorge Buescu (FCUL\, Lisbon)
DTSTART:20210519T150000Z
DTEND:20210519T160000Z
DTSTAMP:20260602T225809Z
UID:ColMat-FCUL/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ColMat-FCUL/
 1/">A cornucopia of surprises: the Riemann Hypothesis at 162</a>\nby Jorge
  Buescu (FCUL\, Lisbon) as part of Colóquio de Matemática - FCUL\n\nLect
 ure held in Sala 6.2.33.\n\nAbstract\nThe Riemann Hypothesis (RH) is argua
 bly the most important unsolved problems in Mathematics\, being one of the
  outstanding Millenium Problems. In this talk we provide a bird’s eye vi
 ew of RH as Riemann conceived it\, showing its connection to the exact for
 mula for distribution of primes\; we describe some classical results relat
 ed to RH derived during its first century of life\; and we sketch several 
 modern approaches which lead to unexpected connections to other branches o
 f Mathematics\, including the ghostly appearance of the critical strip in 
 the author’s apparently unconnected research.\n\npassword: coloquioDM\n
LOCATION:https://researchseminars.org/talk/ColMat-FCUL/1/
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BEGIN:VEVENT
SUMMARY:José Agapito Ruiz (Fac. de Ciências\, Univ. de Lisboa)
DTSTART:20210630T150000Z
DTEND:20210630T160000Z
DTSTAMP:20260602T225809Z
UID:ColMat-FCUL/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ColMat-FCUL/
 2/">Eulerian polynomials via the Weyl algebra action</a>\nby José Agapito
  Ruiz (Fac. de Ciências\, Univ. de Lisboa) as part of Colóquio de Matem
 ática - FCUL\n\nLecture held in Sala 6.2.33.\n\nAbstract\nUsing the frame
 work of partitions and rook placements\, we study\, in particular\, the ac
 tion of the Weyl algebra on the geometric series\, obtaining a generalizat
 ion of the Worpitzky identity and new recursive formulas for a family of p
 olynomials that include the classical Eulerian polynomials.\n\nThis is joi
 nt work with Pasquale Petrullo\, Domenico Senato\, and Maria Manuel Torres
 .\n
LOCATION:https://researchseminars.org/talk/ColMat-FCUL/2/
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BEGIN:VEVENT
SUMMARY:Antonio Lei (University of Ottawa)
DTSTART:20260526T150000Z
DTEND:20260526T160000Z
DTSTAMP:20260602T225809Z
UID:ColMat-FCUL/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ColMat-FCUL/
 3/">Iwasawa theory of graph coverings</a>\nby Antonio Lei (University of O
 ttawa) as part of Colóquio de Matemática - FCUL\n\nLecture held in Sala 
 6.2.33.\n\nAbstract\nClassical Iwasawa theory investigates how arithmetic 
 invariants from number theory and arithmetic geometry\, including ideal cl
 ass groups\, elliptic curves\, modular forms\, and abelian varieties\, beh
 ave along infinite towers of number field extensions. More recently\, an a
 nalogue of Iwasawa theory has been developed in a combinatorial context\, 
 where one studies invariants associated with infinite towers of graph cove
 rings. In this talk\, I will survey some recent progress in this area and 
 illustrate how these ideas can be used to establish connections between is
 ogeny graphs and modular curves over finite fields.\n
LOCATION:https://researchseminars.org/talk/ColMat-FCUL/3/
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