Lectures
Some mathematical lectures
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K_4(Z) = 0
(PDF)
Paris (July 1994).
-
Kohomologi av knuterom, etter Vassiliev
(PDF)
Oslo (October 1994).
-
Vassilievs spektralfølge
(PDF)
Oslo (October 1994).
-
The Seiberg-Witten moduli space
(PDF)
Oslo (November 1995).
-
Fixed points of topological Hochschild homology and
K-theory of the two-adic integers
(PDF)
Stanford (January 1996).
-
Notes on topological cyclic homology and the cyclotomic trace map
(PDF)
Chicago (April 1996).
-
Kjerneregelen i funktorkalkulus
(PDF)
Oslo (February 1997).
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Ekvivariant stabil homotopiteori
(PDF)
Oslo (April 1997).
-
Algebraic K-theory and stable smooth pseudoisotopy of discs
(PDF)
Sheffield (May 1997).
-
Homology and cohomology operations
(PDF)
Oslo (August 1997).
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Gruppehomologi
(PDF)
Oslo (April 1998).
-
Unstable modules and Sullivan's conjecture
(PDF)
Oslo (May 1998).
-
Cohomology of the smooth Whitehead spectrum
(PDF)
Oberwolfach (September 1998).
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On trace maps
(PDF)
Oslo (October 1998).
-
Algebraic K-theory of symmetric monoidal Gamma-space categories with weak
equivalences
(PDF)
Oslo (October 1998).
-
Topological cyclic homology of S-algebras
(PDF)
Oslo (November 1998).
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Two-regular number fields and algebraic K-theory
(PDF)
Oslo (March 1999).
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Two-primary algebraic K-theory of pointed spaces
(PDF)
Swansea (April 1999).
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On the image of Milnor's K_4 in Quillen's K_4 for number fields
(PDF)
Oslo (May 1999).
-
Higher fixed points of topological Hochschild homology of the integers
(PDF)
Oslo (June 1999).
-
The stable parametrized h-cobordism theorem
(PDF)
Oslo (October 1999).
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Algebraic K-theory of finitely presented spectra
(PDF)
Oberwolfach (September 2000).
-
Topological cyclic homology of S-algebras
(PDF)
Oslo (April 2001).
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Two-primary algebraic K-theory of pointed spaces
(PDF)
Cornell (May 2001).
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Elliptic cohomology and algebraic K-theory of 2-vector spaces
(PDF)
Isle of Skye (June 2001).
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Galois extensions of ``brave new rings''
(PDF)
Abel Bicentennial Conference, Oslo (June 2002).
-
Waldhausen's stable parametrized h-cobordism theorem
(PDF)
BCAT 2002, Barcelona (July 2002).
-
Topologisk K-teori og Bott periodisitet
(PDF)
Oslo (May 2003).
-
Automorphisms of spheres, number fields, motives and spectra
(PDF)
Oslo (June 2005).
-
Motivic truncation and arithmetic duality for some structured ring
spectra
(PDF)
Fourth NRW Topology Meeting, Wuppertal (October 2005).
-
Algebraic K-theory of the fraction field of topological K-theory
(PDF)
Schloß Ringberg proposal (November 2005).
-
Smooth symmetries of manifolds and arithmetic of the sphere spectrum
(PDF)
Bonn colloquium (November 2005).
-
On the stable parametrized h-cobordism theorem
(DVI)
(PDF)
Bonn lectures (January/February 2006).
-
Mahowald's infinite family
(PDF)
Bonn AG (February 2006).
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Algebraic K-theory and the chromatic filtration
(PDF)
Bonn seminar (March 20th 2006, in preparation).
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Arithmetic of some brave new rings
(PDF)
Bonn seminar (March 29th 2006).
-
Algebraic K-theory and the chromatic filtration
(PDF)
Muenster Symposion (June 8th 2006, in preparation).
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THH and TAQ
(PDF)
Oslo (fall 2006).
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The fraction field of topological K-theory
(PDF)
Banff poster (March 11th 2008).
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Topological logarithmic structures
(PDF)
Banff talk (March 13th 2008).
-
Topological Hochschild homology of topological modular forms
(PS)
Nordic Topology Conference, NTNU (November 28th 2008).
-
Connective structures on gerbes and two-vector bundles
(PDF)
Oslo seminar talk (March 6th 2009).
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Postnikov towers and k-invariants for S-modules, S-algebras and
commutative S-algebras
(PDF)
Oslo seminar talk (May 15th 2009).
-
Topological logarithmic structures
25th Nordic and 1st British-Nordic Congress of Mathematicians,
Oslo (June 9th 2009).
-
Logarithmic THH and TC
p-Adic Geometry and Homotopy Theory, Loen (August 6th 2009).
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Motivic complexes from the stable rank filtration
Nordic Topology Symposium, Bergen (June 10th 2010).
-
Introduction to redshift
Oberwolfach (September 2011).
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Notes on the Adams spectral sequence
Oslo (January to May 2012).
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Chromatic redshift
(slides)
(video)
MSRI, Introductory Workshop: Algebraic Topology (January 28th 2014).
-
Algebraic K-theory of strict ring spectra
(slides)
(video)
Seoul ICM 2014 (August 18th 2014).
-
Towards a motivic Segal conjecture
(part 2)
(part 3)
(part 4)
(part 5)
Oslo (September-October 2014).
- Algebraic K-theory of group rings
and topological cyclic homology
(slides)
Nordic Topology Meeting, NTNU (November 27th 2014).
- The weight and rank filtrations
Oslo (October 21st and 28th 2016).
- The Davis-Mahowald spectral sequence
Nils Baas 70, NTNU (December 1st 2016).
- Cubical and cosimplicial descent
Moduli and Traces, Copenhagen (April 21st 2017).
- Topological modular forms - I
Oslo (October 25th 2017).
- Topological Hochschild homology of
the prime fields and the integers
Oslo (February 21st 2018).
- Topological cyclic homology of
the prime fields and the integers
Oslo (March 7th 2018).
- Logarithmic de Rham-Witt complexes
Oslo (March 21st 2018).
- Duality for topological modular forms
Oberwolfach (August 2nd 2019).
- Norms of Real bordism
eCHT seminar (October 2020).
- The Adams spectral sequence for the image-of-J spectrum
Princeton algebraic topology seminar (May 2021).
- Algebraic K-theory of elliptic cohomology
Institut Mittag-Leffler seminar (April 2022).
- Group actions on homotopy spheres
eCHT seminar (November 2022).
- Topological cyclic homology of the second truncated Brown-Peterson spectrum
(video)
CIRM/Luminy (January 2023).
Some popularized lectures
John Rognes / February 17th 2023