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F-singularities and D-modules
August 6 - 10, 2007
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Airport shuttle number: 734-394-1665 (reserve 24h in advance)
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The main goal of the workshop is to discuss the approach to
singularities in positive characteristic using the Frobenius morphism.
This approach came out of tight closure theory in commutative algebra,
but it was realized in the last few years that it has close connections
with other points of view on singularities, especially with the theory
multiplier ideals in characteristic zero. In particular, one of the deeper
questions
in the field deals with the comparaison between the characteristic zero
and the characteristic p invariants.
The workshop will focus on explaining the basic questions in
the field, and at the same time, on exploring possible connections with
other fields. In particular, the talks in the morning will be of an
expository nature, introducing the main ideas on F-singularities,
multiplier ideals, D-modules
in zero, positive and mixed characteristic, F-modules, and the Riemann-Hilbert
correspondence in positive characteristic. We will have no more than four
talks a day, so there will be plenty of time for informal discussions.
All talks will be
in Room 4088 (this is on the 4th floor, on the left as you exit the elevator).
The following is the list of confirmed outside participants:
The workshop is supported by a Packard Fellowship. If you want to attend the workshop, please contact Mircea Mustaţă.
Department of Mathematics
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