Pure Math colloquium

Monday, February 4, 2013 4:00 pm - 4:00 pm EST (GMT -05:00)

Spyros Alexakis, University of Toronto

“The black hole uniqueness problem, old and new.”

We address the uniqueness question of vacuum stationary black hole solutions of Einstein’s equations in general relativity, and discuss its relevance towards understanding the possible final states of evolving black holes. We present older and newer results (joint with A. Ionescu and S. Klainer- man) towards settling the uniqueness question. Our analytic methods rely on unique continuation for the wave operator. We highlight the tight connection between the possible geometry of trapped null geodesics and the analysis of unique continuation.

Refreshments will be served in MC 5046 at 3:30 p.m. Everyone is welcome to attend.