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SUMMARY:Aloysius Ng (MIT)
DTSTART:20260205T220000Z
DTEND:20260205T233000Z
DTSTAMP:20260422T220657Z
UID:STAGE/147
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/147/">
 Torsors of algebraic groups over fields</a>\nby Aloysius Ng (MIT) as part 
 of STAGE\n\nLecture held in Room 2-139 in the MIT Simons Building.\n\nAbst
 ract\nTo build towards the descent obstruction\, we begin by defining tors
 ors. In this talk\, we introduce $G$-torsors under smooth algebraic group 
 $G/k$ as a generalization of simply transitive $G$-sets of group $G$. We d
 iscuss its classification and some results that arise from it\, laying the
  foundation for understanding them over arbitrary bases.\n\nReference: Poo
 nen\, <a href="https://math.mit.edu/~poonen/papers/Qpoints.pdf"><i>Rationa
 l points on varieties</i></a>\, Section 5.12.\n
LOCATION:https://researchseminars.org/talk/STAGE/147/
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