The Number Theory and Algebraic Geometry seminar continues with our own Zev Rosengarten on Monday, Jan. 22 at 2:30 pm in Ross 70. The details are below:


Rational Points On Linear Algebraic Groups

Abstract: In 1984, Oesterle asked whether a wound unipotent group admitting infinitely many rational points over a global function field necessarily contains a nontrivial unirational subgroup -- that is, do rational points only arise for a good geometric reason? Though he formulated the question for wound unipotent groups, it makes sense for arbitrary linear algebraic groups -- although one may show that the more general question ultimately boils down to the wound unipotent case. Using some recent work of mine on the structure of wound unipotent groups, I shall outline a positive answer to Oesterle's question, and in fact discuss a stronger result which holds over more general fields of arithmetic interest.

Zoom link
https://huji.zoom.us/j/88037279712?pwd=N3MwWW5RYzRTZHg4K0U2bS80Rmxjdz09

Meeting ID: 880 3727 9712
Passcode: 955263