K-theory, algebraic cycles and motivic homotopy theory

Created:	2020-01-13 11:16
Institution:	Isaac Newton Institute for Mathematical Sciences
Description:	The programme will focus on the areas of Algebraic K-theory, Algebraic Cycles and Motivic Homotopy Theory. These are fields at the heart of studying algebraic varieties from a cohomological point of view, which have applications to several other fields like Arithmetic Geometry, Hodge theory and Mathematical Physics. It was in the 1960s that Grothendieck first observed that the various cohomology theories for algebraic varieties shared common properties, which led him to explain the underlying kinship of such cohomology theories in terms of a universal motivic cohomology theory of algebraic varieties. The theory of Algebraic Cycles, Higher Algebraic K-theory, and Motivic Homotopy Theory are modern versions of Grothendieck's legacy. In recent years it has seen some spectacular developments, on which we want to build further. The programme will also specifically explore the connections between the following areas: Algebraic K-theory, Motivic Cohomology, and Motivic Homotopy Theory; Hodge theory, Periods, Regulators, and Arithmetic Geometry; Mathematical Physics. For this, we shall bring together mathematicians working on different aspects of this broad area for extended periods of time, promoting exchange of ideas and stimulating further progress. During the programme there will be four workshops. At the very beginning, there will be a workshop aimed at giving a younger generation of mathematicians an overview of and introduction to this interesting, but broad area. Later there will be a workshop for each of the three areas listed above, aimed at the latest developments and applications of that area.

Media items

This collection contains 48 media items.

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Media items

Algebraic Cycles and Hodge Theory III

1:08:00

39 views

Scholl, A
Friday 17th January 2020 - 10:00 to 11:00

Collection: K-theory, algebraic cycles and motivic homotopy theory

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Fri 17 Jan 2020

Calabi-Yau Manifolds, Mirrors, and Motives - 1

57:50

100 views

Doran, C
Monday 13th January 2020 - 11:30 to 12:30

Collection: K-theory, algebraic cycles and motivic homotopy theory

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Jan 2020

Calabi-Yau Manifolds, Mirrors, and Motives - 2

1:05:00

64 views

Doran, C
Tuesday 14th January 2020 - 10:00 to 11:00

Collection: K-theory, algebraic cycles and motivic homotopy theory

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Jan 2020

Enriques surface fibrations with non-algebraic integral Hodge classes

1:05:00

23 views

Ottem, J
Monday 3rd February 2020 - 15:00 to 16:00

Collection: K-theory, algebraic cycles and motivic homotopy theory

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Thu 6 Feb 2020

Introduction to Motivic Homotopy Theory I: Motivic Spaces

57:22

74 views

Stojanoska, V
Monday 13th January 2020 - 13:30 to 14:30

Collection: K-theory, algebraic cycles and motivic homotopy theory

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Jan 2020

K-theory and motivic cohomology - 1

1:13:00

189 views

Weibel, C
Monday 13th January 2020 - 10:00 to 11:00

Collection: K-theory, algebraic cycles and motivic homotopy theory

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Jan 2020

K-theory and motivic cohomology - 2

58:29

136 views

Weibel, C
Monday 13th January 2020 - 14:30 to 15:30

Collection: K-theory, algebraic cycles and motivic homotopy theory

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Jan 2020

Periods, cohomology of algebraic varieties and beyond - 1

1:06:00

93 views

Brown, F
Monday 13th January 2020 - 16:00 to 17:00

Collection: K-theory, algebraic cycles and motivic homotopy theory

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Jan 2020

A motivic Weil height machine for curves

60:00

18 views

Ishai Dan-Cohen (Ben-Gurion University)
30/05/2022
Programme: KAH2
SemId: 36289

Collection: K-theory, algebraic cycles and motivic homotopy theory

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Wed 8 Jun 2022

Algebraic Cycles and Hodge Theory I

1:03:00

175 views

Scholl, A
Tuesday 14th January 2020 - 11:30 to 12:30

Collection: K-theory, algebraic cycles and motivic homotopy theory

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Jan 2020

Algebraic Cycles and Hodge Theory II

1:02:00

44 views

Scholl, A
Thursday 16th January 2020 - 13:30 to 14:30

Collection: K-theory, algebraic cycles and motivic homotopy theory

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Thu 16 Jan 2020

Calabi-Yau Manifolds, Mirrors, and Motives - 3

59:22

48 views

Doran, C
Wednesday 15th January 2020 - 09:00 to 10:00

Collection: K-theory, algebraic cycles and motivic homotopy theory

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Wed 15 Jan 2020