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UID:news2008@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20260320T134428
DTSTART;TZID=Europe/Zurich:20260519T103000
SUMMARY:Seminar Algebra and Geometry: Julia Schneider (Université Bourgogn
 e)
DESCRIPTION:In this talk\, I discuss a joint work with Alexey Elagin and E
 vgeny Shinder that lies at the intersection of birational and derived geo
 metry. What kind of geometric information is encoded in the derived catego
 ry of a variety\, and how does this information behave under birational ma
 ps? We consider the case of surfaces equipped with a group action\, and s
 how that their derived categories admit a canonical (mutation-equivalence
  class of) semi-orthogonal decomposition that "behaves well" with respec
 t to birational geometry. We call such decompositions "atomic". If time p
 ermits\, I will discuss applications to (bi-)rationality questions. This 
 talk is intended for non-experts of derived geometry\; all notions will be
  explained.
X-ALT-DESC:<p>In this talk\, I discuss a&nbsp\;joint work with Alexey Elagi
 n and Evgeny Shinder that lies at&nbsp\;the intersection of birational and
  derived geometry. What kind of geometric information is encoded in the de
 rived category of a variety\, and how does this information behave under b
 irational maps?&nbsp\;We consider the case of surfaces equipped with a gro
 up action\, and show that their derived categories admit a&nbsp\;canonical
  (mutation-equivalence class of) semi-orthogonal&nbsp\;<span id="x_DWT251"
 >decomposition</span>&nbsp\;that "behaves well" with respect to birational
  geometry. We call such decompositions "atomic".&nbsp\;If time permits\, I
  will discuss applications to (bi-)rationality questions.&nbsp\;This talk 
 is intended for non-experts of derived geometry\; all notions will be expl
 ained.</p>
DTEND;TZID=Europe/Zurich:20260519T120000
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