Joint PU/IAS Number Theory

I will discuss recent results for algebraicity of critical values of Spin L-functions for GSp_6. I will also discuss ongoing work toward the construction of p-adic L-functions interpolating these values. I will explain how this work fits into the context of earlier developments, while also indicating where new technical challenges arise. This is joint work with Giovanni Rosso and Shrenik Shah. All who are curious about this topic are welcome at this talk, even without prior experience with Spin L-functions.