Motives arising from higher homotopy theory of hyperplane arrangements.
Hot Topics: Galois Theory of Periods and Applications March 27, 2017 - March 31, 2017
Location: MSRI: Simons Auditorium
Galois theory
Galois orbits
Periods
hyperplane arrangements
mixed motives
Tate motives
motivic geometry
algebraic geometry
complexes
polylogarithms
Tannakian categories
Bar construction
Hopf algebras
11Rxx - Algebraic number theory: global fields {For complex multiplication, see 11G15}
14C30 - Transcendental methods, Hodge theory [See also 14D07, 32G20, 32J25, 32S35], Hodge conjecture
11G09 - Drinfelʹd modules; higher-dimensional motives, etc. [See also 14L05]
11G10 - Abelian varieties of dimension $> 1$ [See also 14Kxx]
14F42 - Motivic cohomology; motivic homotopy theory [See also 19E15]
14F35 - Homotopy theory; fundamental groups [See also 14H30]
32S22 - Relations with arrangements of hyperplanes [See also 52C35]
Patel
We will discuss a construction of motives arising from higher homotopy groups of hyperplane arrangements in the setting of Nori's category of motives
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Patel
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