# Zero-Cycles on Torsors under Linear Algebraic Groups

## Reed Leon Gordon-Sarney (Emory)

Let G be a smooth connected linear algebraic group over a field, and let X be a G-torsor. If X admits a zero-cycle of degree 1, does X have a rational point? This question is attributed to Serre, dates back to the `60s, and is still open. In 2004, Totaro generalized Serre's question: if X admits a zero-cycle of positive degree d, does X have a closed etale point of degree dividing d? The speaker will discuss his thesis work (with some very recent results) on Totaro's question.

Tuesday, March 21st, at 4:00pm in HBH 227

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