BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Fernando Rodriguez-Villegas (The Abdus Salam International Centre 
 for Theoretical Physics)
DTSTART:20201015T140000Z
DTEND:20201015T160000Z
DTSTAMP:20260423T052710Z
UID:EIMINT/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EIMINT/6/">M
 ixed Hodge numbers and factorial ratios</a>\nby Fernando Rodriguez-Villega
 s (The Abdus Salam International Centre for Theoretical Physics) as part o
 f EIMI Number Theory Seminar\n\n\nAbstract\nThe factorial ratios of the ti
 tle are numbers such as $\\frac{(30n)!n!}{(6n)!(10n)!(15n)!}$ considered b
 y Chebyshev in his work on the distribution of prime numbers\, which are i
 ntegral for all n in a non-obvious way. I will discuss how integrality is 
 related to the lack of interior points of the first few dilations of an as
 sociated polytope and the vanishing of certain Hodge numbers of associated
  varieties. This work is an offshoot of an ongoing project on hypergeometr
 ic motives joint with D. Roberts and M. Watkins.\n
LOCATION:https://researchseminars.org/talk/EIMINT/6/
END:VEVENT
END:VCALENDAR