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SUMMARY:Joel Nagloo (University of Illinois Chicago)
DTSTART:20210819T180000Z
DTEND:20210819T190000Z
DTSTAMP:20260423T035917Z
UID:OLS/58
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OLS/58/">Geo
 metric triviality in differentially closed fields</a>\nby Joel Nagloo (Uni
 versity of Illinois Chicago) as part of Online logic seminar\n\n\nAbstract
 \nIn this talk we revisit the problem of describing the 'finer' structure 
 of geometrically trivial strongly minimal sets in $DCF_0$. In particular\,
  I will explain how recent work joint with Guy Casale and James Freitag on
  Fuchsian groups (discrete subgroup of $SL_2(\\mathbb{R})$) and automorphi
 c functions\, has lead to intriguing questions around the $\\omega$-catego
 ricity conjecture of Daniel Lascar. This conjecture was disproved in its f
 ull generality by James Freitag and Tom Scanlon using the modular group $S
 L_2(\\mathbb{Z})$ and its automorphic uniformizer (the $j$-function). I wi
 ll explain how their counter-example fits into the larger context of arith
 metic Fuchsian groups and has allowed us to 'propose' refinements to the o
 riginal conjecture.\n
LOCATION:https://researchseminars.org/talk/OLS/58/
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