Mathematics Dept.
  Events
UBC
Mon 22 Oct 2018, 4:05pm
Algebraic Geometry Seminar
MATH 126
Bivariant Theories and Algebraic Cobordism of Singular Varieties
MATH 126
Mon 22 Oct 2018, 4:05pm-5:05pm

Abstract

I will outline the construction of a natural bivariant theory extending algebraic bordism, which will yield an extension of algebraic cobordism to singular varieties. I will also discuss the connections of this theory to algebraic K-theory and to intersection theory.
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University of Colorado
Mon 29 Oct 2018, 4:00pm
Algebraic Geometry Seminar
MATH 126
Distinguished models of intermediate Jacobians
MATH 126
Mon 29 Oct 2018, 4:00pm-5:00pm

Abstract

In this talk I will discuss joint work with J. Achter and C. Vial showing that the image of the Abel--Jacobi map on algebraically trivial cycles descends to the field of definition for smooth projective varieties defined over subfields of the complex numbers. The main focus will be on applications to topics such as: descending cohomology geometrically, a conjecture of Orlov regarding the derived category and Hodge theory, and motivated admissible normal functions.
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UBC
Tue 6 Nov 2018, 4:00pm
Algebraic Geometry Seminar
MATH 126
TBA
MATH 126
Tue 6 Nov 2018, 4:00pm-5:00pm

Abstract

 
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