Tag Archives: Tate Conjecture

Potential Modularity of K3 surfaces

This post is to report on results of my student Chao Gu who is graduating this (academic) year. If A/F is an abelian surface, then one can associate to A a K3 surface X (the Kummer surface) by blowing up … Continue reading

Posted in Mathematics, Work of my students | Tagged , , , , , , , , | 2 Comments

A random curve over Q

Let X/\mathbf{Q} be a smooth projective curve. I would like to be able to say that the motive M associated to X “generally” determines X. That is, I would like to say it in a talk without feeling like I’m … Continue reading

Posted in Mathematics | Tagged , , | 16 Comments

Correspondance Serre-Tate, Part I

Reading the correspondence between Serre and Tate has been as delightful as one could expect. What is very nice to see — although perhaps not so surprising — is the utter delight that both Serre and Tate find in discussing … Continue reading

Posted in Mathematics | Tagged , , , , , , , , , , , , , , | Leave a comment