Colloquium abstracts

Anand Sawant
University of Munich, Germany
August 13, 2015

Etale motivic analogues of Rost nilpotence:  The Rost nilpotence principle has been extensively used in the study of motivic decompositions of smooth projective varieties over a field and is known to hold for surfaces and for projective homogeneous varieties. We will introduce Rost nilpotence and formulate its analogues in the etale motivic realm. We show that the etale motivic analogues of the Rost nilpotence principle hold for smooth projective varieties of any dimension. This helps us to give a simpler and more conceptual proof of Rost nilpotence for surfaces and sheds more light on the situation in higher dimensions. The talk is based on joint work in progress with Andreas Rosenschon.