Lectures
Some mathematical lectures

K_4(Z) = 0
(PDF)
Paris (July 1994).

Kohomologi av knuterom, etter Vassiliev
(PDF)
Oslo (October 1994).

Vassilievs spektralfølge
(PDF)
Oslo (October 1994).

The SeibergWitten moduli space
(PDF)
Oslo (November 1995).

Fixed points of topological Hochschild homology and
Ktheory of the twoadic 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).

Ekvivariant stabil homotopiteori
(PDF)
Oslo (April 1997).

Algebraic Ktheory and stable smooth pseudoisotopy of discs
(PDF)
Sheffield (May 1997).

Homology and cohomology operations
(PDF)
Oslo (August 1997).

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).

On trace maps
(PDF)
Oslo (October 1998).

Algebraic Ktheory of symmetric monoidal Gammaspace categories with weak
equivalences
(PDF)
Oslo (October 1998).

Topological cyclic homology of Salgebras
(PDF)
Oslo (November 1998).

Tworegular number fields and algebraic Ktheory
(PDF)
Oslo (March 1999).

Twoprimary algebraic Ktheory of pointed spaces
(PDF)
Swansea (April 1999).

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 hcobordism theorem
(PDF)
Oslo (October 1999).

Algebraic Ktheory of finitely presented spectra
(PDF)
Oberwolfach (September 2000).

Topological cyclic homology of Salgebras
(PDF)
Oslo (April 2001).

Twoprimary algebraic Ktheory of pointed spaces
(PDF)
Cornell (May 2001).

Elliptic cohomology and algebraic Ktheory of 2vector spaces
(PDF)
Isle of Skye (June 2001).

Galois extensions of ``brave new rings''
(PDF)
Abel Bicentennial Conference, Oslo (June 2002).

Waldhausen's stable parametrized hcobordism theorem
(PDF)
BCAT 2002, Barcelona (July 2002).

Topologisk Kteori 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 Ktheory of the fraction field of topological Ktheory
(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 hcobordism theorem
(DVI)
(PDF)
Bonn lectures (January/February 2006).

Mahowald's infinite family
(PDF)
Bonn AG (February 2006).

Algebraic Ktheory and the chromatic filtration
(PDF)
Bonn seminar (March 20th 2006, in preparation).

Arithmetic of some brave new rings
(PDF)
Bonn seminar (March 29th 2006).

Algebraic Ktheory and the chromatic filtration
(PDF)
Muenster Symposion (June 8th 2006, in preparation).

THH and TAQ
(PDF)
Oslo (fall 2006).

The fraction field of topological Ktheory
(PDF)
Banff poster (March 11th 2008).

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 twovector bundles
(PDF)
Oslo seminar talk (March 6th 2009).

Postnikov towers and kinvariants for Smodules, Salgebras and
commutative Salgebras
(PDF)
Oslo seminar talk (May 15th 2009).

Topological logarithmic structures
25th Nordic and 1st BritishNordic Congress of Mathematicians,
Oslo (June 9th 2009).

Logarithmic THH and TC
pAdic Geometry and Homotopy Theory, Loen (August 6th 2009).

Motivic complexes from the stable rank filtration
Nordic Topology Symposium, Bergen (June 10th 2010).

Introduction to redshift
Oberwolfach (September 2011).

Notes on the Adams spectral sequence
Oslo (January to May 2012).

Chromatic redshift
(slides)
(video)
MSRI, Introductory Workshop: Algebraic Topology (January 28th 2014).

Algebraic Ktheory 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 (SeptemberOctober 2014).
 Algebraic Ktheory 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 DavisMahowald 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 RhamWitt complexes
Oslo (March 21st 2018).
Some popularized lectures
John Rognes / May 24th 2018