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Homological Methods in Representation Theory |
| March 31, 2008 to April 04, 2008 |
| Organized By: David Benson, Daniel Nakano(chair), Raphael Rouquier |
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| Parent Programs: |
| Representation Theory of Finite Groups and Related Topics |
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| Return to Workshop Description |
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Controlling fusion in saturated fusion systems
Thursday April 3, 2008
03:30PM - 04:30PM
Speakers:
Radha Kessar
Abstract:
Saturated fusion systems were introduced by L. Puig in order to distill the common essence of $p$-fusion in finite groups and the fusion of Brauer pairs in modular representation theory. The work of
C.Broto, R.Levi and R.Oliver studying $p$-completed classifying spaces of finite groups through the ambient fusion systems has generated much interest in these categories. In my talk, I will
explain how some of the homological machinery developed around fusion
systems can be used to carry over classical theorems of Glauberman
and others on control of p$-fusion in finite groups to the realm of saturated fusion systems.
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