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DTSTART;TZID=America/Toronto:20251117T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/pure-math-colloquium-59
SUMMARY:Pure Math Colloquium
CLASS:PUBLIC
DESCRIPTION:YUNQING TANG\, BERKELEY \n\n_Irrationality of periods_\n\nPerio
 ds are interesting numbers arising from algebraic geometry.\nGrothendieck
 ’s period conjecture provides predictions on\nirrationality and transcen
 dence of periods. There have been some\nsystematic studies on certain peri
 ods\, such as Baker’s theory on\nlinear forms of logarithms of algebraic
  numbers. However\, beyond\nspecial cases\, we do not know the irrationali
 ty of simple-looking\nperiods such as the product of two logs. In this tal
 k\, I will discuss\nthe joint work with Calegari and Dimitrov on an irrati
 onality result\nof certain product of two logs and some other periods. A c
 lassical\nprototype of the method was first used by Apéry to prove the\ni
 rrationality of zeta(3). The key ingredient is an arithmetic holonomy\nthe
 orem built upon earlier work by André\, Bost\, Charles (and others)\non a
 rithmetic algebraization theorems via Arakelov theory.\n\nMC 5501
DTSTAMP:20260501T193101Z
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