Algebraic Geometry Seminar

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Invariants of Volume Preserving Birational Maps

Speaker: Zhijia Zhang, Courant Institute

Location: Warren Weaver Hall 201

Date: Tuesday, October 15, 2024, 3:30 p.m.

Synopsis:

In this talk, we study the group of birational automorphisms of projective spaces that preserve the standard torus-invariant volume forms with logarithmic poles. This group is of interest in birational geometry due to its close connection to the theory of log Calabi-Yau pairs. In particular, we show that this group is not generated by pseudo-regularizable maps, and it is not simple. This extends a recent result on the Cremona group by Lin and Shinder, and the proof relies on a construction due to Hassett and Lai. This is joint work with Konstantin Loginov.

Notes:

Please note the room change.