Degenerations and Uniformity

Series
Algebra Seminar
Time
Monday, February 9, 2026 - 1:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Jit Wu Yap – Massachusetts Institute of Technology – https://sites.google.com/view/jitwuyap/
Organizer
Donggyu Kim

Please Note: There will be a pre-seminar at 10:55-11:25 in Skiles 005.

Rescaling limits were first introduced by Jan Kiwi to study degenerations of rational maps of degree at least two. Building on the work of Luo and Favre–Gong, we explain how rescaling limits can serve as a substitute for a good compactification of $Rat_d$, the moduli space of degree d rational maps. In particular, this framework allows one to promote pointwise results to uniform statements in a systematic way.