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SUMMARY:The elusive nature of Calabi-Yau manifolds
DTSTART:20220427T123000
DTEND:20220427T140000
DTSTAMP:20260916T044106Z
UID:02a141b11f3b7765ac1e6e2ffe890996c7f94cbb84e2623d9828b236
CATEGORIES:Conferences - Seminars
DESCRIPTION:Zsolt Patakfalvi\nI am going to talk about the phenomenon that
  sometimes the objects interesting for physics are the most difficult f
 or algebraic geometry. More precisely\, one of the geometric objects of pa
 rticular interest to physics are Calabi-Yau manifolds. I will start by di
 scussing the Kodaira embedding theorem. It gives a precise condition when 
 complex manifolds in general are projective varieties\, that is\, when th
 ey can be identified with a subset of the projective space defined by poly
 nomials. I will then explain that projective Calabi-Yau manifolds (Calabi-
 Yau varieties) happen to be also one of the 5 building blocks of projecti
 ve varieties in general\, according to the classification theory of projec
 tive varieties. In fact\, at this point it seems that Calabi-Yau varieties
  are the only building blocks that are of particular interest for physic
 s. The main point of the talk is to explain how these building blocks are 
 the most elusive for algebraic geometers. I will present some conjectures 
 that are well understood for the other building blocks\, but not for Calab
 i-Yau's\, including one on which I work also with my group. \n 
LOCATION:GA 3 21 https://plan.epfl.ch/?room==GA%203%2021
STATUS:CONFIRMED
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