Women in Geometry

Schedule:

2:00-3:00 pm (Room TBA):

Penelope Smith (aka Penny Smith), Lehigh University

Immortal Viscosity Solutions of the Einstein Cauchy Problem

We explain comparison principles for super and subsolutions for semilinear hyperbolic equations and Quasilinear Symmetric Hyperbolic Systems using the Perron Method. This technique has been developed and applied by the speaker to prove the existence of immortal C¹ Viscosity solutions of the Einstein Cauchy problem for sufficently smooth but not necessarily small Cauchy data satisfying a barrier condition. We require more smoothness of the initial data than the beautiful theorems of Klainerman and Rodnianski, but the speaker's solutions exist for all time, even with large initial data. Thus, all these results are complementary to each other. The speaker's methods suggest a new and stable numerical method for the Einstein Evolution Problem.

3:15 - 4:00 pm (Room TBA):

Discussion Session

Haydee Herrera, Penny Smith and Christina Sormani will answer questions and discuss:

• Job Searches and Job Interviews
• Publishing, Grants and finding time for research
• Tenure Track Issues like saying no to service
Other senior women are encouraged to join us.

Organizers:

Christina Sormani, Lehman College and CUNY Graduate Center
with the assistance of
David L. Johnson, Lehigh University

Everyone is welcome to attend this event. Analysts and Physicists as well as geometers may be interested in Smith's talk and all young mathematicians should benefit from the Discussion Session.