Tuesday, December 6, 2022
Time | Items |
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All day |
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3pm |
12/06/2022 - 3:00pm The space of projective, filling currents PFC(S) contains many structures relating to a closed, genus g surface S. For example, it contains the set of all closed curves on S, as well as an embedded copy of Teichmuller space, and many other spaces of metrics on S. We show that the symmetrized Thurston metric on Teichmuller space naturally extends to a complete, proper metric on PFC(S). We will then discuss the geometry of PFC(S) under this metric. Location:
LOM 202
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4pm |
12/06/2022 - 4:30pm Abstract: The classification of finite groups and their regular actions on projective spaces have occupied generations of mathematicians. Actions on fields, especially, within the framework of Galois theory, are also of major interest. Recently, there have been interesting developments concerning the classification of actions on function fields of algebraic varieties. New techniques, based on ideas of motivic integration, led to the introduction of new invariants of such actions. I will discuss their construction and geometric applications (joint work with B. Hassett and A. Kresch). Location: |