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SUMMARY:Jorge Buescu (FCUL\, Lisbon)
DTSTART:20210519T150000Z
DTEND:20210519T160000Z
DTSTAMP:20260520T235845Z
UID:ColMat-FCUL/1
DESCRIPTION:Title: <a href="https://master.researchseminars.org/talk/ColMa
 t-FCUL/1/">A cornucopia of surprises: the Riemann Hypothesis at 162</a>\nb
 y Jorge Buescu (FCUL\, Lisbon) as part of Colóquio de Matemática - FCUL\
 n\nLecture held in Sala 6.2.33.\n\nAbstract\nThe Riemann Hypothesis (RH) i
 s arguably the most important unsolved problems in Mathematics\, being one
  of the outstanding Millenium Problems. In this talk we provide a bird’s
  eye view of RH as Riemann conceived it\, showing its connection to the ex
 act formula for distribution of primes\; we describe some classical result
 s related to RH derived during its first century of life\; and we sketch s
 everal modern approaches which lead to unexpected connections to other bra
 nches of Mathematics\, including the ghostly appearance of the critical st
 rip in the author’s apparently unconnected research.\n\npassword: coloqu
 ioDM\n
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SUMMARY:José Agapito Ruiz (Fac. de Ciências\, Univ. de Lisboa)
DTSTART:20210630T150000Z
DTEND:20210630T160000Z
DTSTAMP:20260520T235845Z
UID:ColMat-FCUL/2
DESCRIPTION:Title: <a href="https://master.researchseminars.org/talk/ColMa
 t-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
  Matemática - FCUL\n\nLecture held in Sala 6.2.33.\n\nAbstract\nUsing the
  framework of partitions and rook placements\, we study\, in particular\, 
 the action of the Weyl algebra on the geometric series\, obtaining a gener
 alization of the Worpitzky identity and new recursive formulas for a famil
 y of polynomials that include the classical Eulerian polynomials.\n\nThis 
 is joint work with Pasquale Petrullo\, Domenico Senato\, and Maria Manuel 
 Torres.\n
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SUMMARY:Antonio Lei (University of Ottawa)
DTSTART:20260526T150000Z
DTEND:20260526T160000Z
DTSTAMP:20260520T235845Z
UID:ColMat-FCUL/3
DESCRIPTION:Title: <a href="https://master.researchseminars.org/talk/ColMa
 t-FCUL/3/">Iwasawa theory of graph coverings</a>\nby Antonio Lei (Universi
 ty of Ottawa) as part of Colóquio de Matemática - FCUL\n\nLecture held i
 n Sala 6.2.33.\n\nAbstract\nClassical Iwasawa theory investigates how arit
 hmetic invariants from number theory and arithmetic geometry\, including i
 deal class groups\, elliptic curves\, modular forms\, and abelian varietie
 s\, behave along infinite towers of number field extensions. More recently
 \, an analogue of Iwasawa theory has been developed in a combinatorial con
 text\, where one studies invariants associated with infinite towers of gra
 ph coverings. In this talk\, I will survey some recent progress in this ar
 ea and illustrate how these ideas can be used to establish connections bet
 ween isogeny graphs and modular curves over finite fields.\n
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