BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Reductions of non-lc-ideals and non-$F$-pure ideals assuming weak 
 ordinarity
DTSTART:20181127T140000
DTEND:20181127T150000
DTSTAMP:20260916T064129Z
UID:7bb3d8f1180911c0b8e34c5fc355bff8b75f559f6b122a954853319c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Axel Stabler (Johannes Gutenberg Universität Mainz)\nAbstract
 : It has been known for several decades that there are close connections b
 etween certain classes of singularities in the Minimal Model Program over 
 $\\mathbb{C}$ and so-called $F$-singularities which are defined in positiv
 e characteristic via Frobenius. There is a more refined conjecture which r
 elates multiplier ideal filtrations and test ideal filtrations. The trivia
 lity of certain parts of this filtration may be used to define some of the
  singularities mentioned previously. It is known that this conjecture is e
 quivalent to the so-called weak ordinarity conjecture from arithmetic geom
 etry (which roughly speaking asserts that if $X$ is a smooth projective va
 rietiy of dimension $d$ defined over $\\Spec \\mathbb{Z}$ then its reducti
 ons mod $p$ admit bijective Frobenius action on $H^{d-1}(X_p\,\\mathcal{O}
 _{X_p})$ for inifinitely many $p$) by work of Srinivas\, Mustata\, Bhatt\,
  Schwede\, Takagi. I will survey these results and time permitting talk ab
 out a similar conjectural relation between maximal non-lc ideal filtration
 s and non-$F$-pure ideal filtrations which in some cases is also equivalen
 t to weak ordinarity.
LOCATION:PH H3 33 https://plan.epfl.ch/?room==PH%20H3%2033
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR