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SUMMARY:Jake Levinson (Université de Montréal)
DTSTART:20231026T223000Z
DTEND:20231026T233000Z
DTSTAMP:20260422T054104Z
UID:SFUQNTAG/99
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/99/
 ">Minimal degree fibrations in curves and asymptotic degrees of irrational
 ity</a>\nby Jake Levinson (Université de Montréal) as part of SFU NT-AG 
 seminar\n\n\nAbstract\nA basic question about an algebraic variety X is ho
 w similar it is to projective space. One measure of similarity is the mini
 mum degree of a rational map from X to projective space\, the "degree of i
 rrationality". This number\, not to mention the corresponding minimal-degr
 ee maps\, is in general challenging to compute\, but captures special feat
 ures of the geometry of X. I will discuss some recent joint work with Davi
 d Stapleton and Brooke Ullery on asymptotic bounds for degrees of irration
 ality of divisors X on projective varieties Y. Here\, the minimal-degree r
 ational maps $X \\dashrightarrow \\mathbb{P}^n$ turn out to "know" about Y
  and factor through rational maps $Y \\dashrightarrow \\mathbb{P}^n$ fiber
 ed in curves that are\, in an appropriate sense\, also of minimal degree.\
 n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/99/
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