SMS scnews item created by Hannah Bryant at Fri 2 Jul 2021 1220
Type: Seminar
Modified: Thu 8 Jul 2021 0936
Distribution: World
Expiry: 2 Jul 2022
Calendar1: 8 Jul 2021 1530-1700
CalLoc1: Online via Zoom
Auth: hannahb@10.48.19.26 (hbry8683) in SMS-SAML

# SMRI Algebra and Geometry Online: Thiel -- Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution

***REMINDER TO REGISTER - SEMINAR TODAY***

SMRI Algebra and Geometry Online

’Towards the classification of symplectic linear quotient singularities admitting a
symplectic resolution’
Ulrich Thiel (University of Kaiserslautern)
Online via Zoom - Register here: https://bit.ly/364HXRI
Thursday 8th July 3:30pm - 5:00pm

Abstract: Over the past two decades, there has been much progress on the classification
of symplectic linear quotient singularities V/G admitting a symplectic (equivalently,
crepant) resolution of singularities. The classification is almost complete but there
is an infinite series of groups in dimension 4 - the symplectically primitive but
complex imprimitive groups - and 10 exceptional groups up to dimension 10, for which
it is still open. Recently, we have proven that for all but possibly 39 cases in the
remaining infinite series there is no symplectic resolution. We have thereby reduced
the classification problem to finitely many open cases. We do not expect any of the
remaining cases to admit a symplectic resolution. This is joint work with Gwyn Bellamy
and Johannes Schmitt.


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