Abstract: We continue from last week by defining K_0 and K_1-regularity of a ring and prove that a regular ring is K_0 and K_1-regular. We show that distinguished squares of schemes give rise to an exact sequence relating their Picard groups and prove that K_0-regularity implies Pic-regularity. Then we define the Karoubi-Villamayor K-theory groups of a ring and relate these to the K_0 and K_1 groups. Further details: http://userpage.fu-berlin.de/hoskins/seminar.html [userpage.fu-berlin.de]

Location: Arnimalle 3, SR005

Jun 04, 2014 | 04:15 PM

Ángel Muñoz Castañeda: K_0 and K_1 for rings

Location: SR 005, Arnimallee 3

May 28, 2014 | 04:00 PM

Nickolai Beck: The A^1-homotopy category of smooth k-schemes

Location: SR 005, Arnimallee 3

May 21, 2014 | 04:00 PM

Anna Wißdorf: The simplicial homotopy category of sheaves

Location: SR 005, Arnimallee 3

May 14, 2014 | 04:00 PM

Eva Martínez: Sheaves in the Nisnevich topology

Location: SR 005, Arnimallee 3

May 07, 2014 | 04:00 PM

Elena Martinengo: An introduction to homotopical algebra

Location: SR 005, Arnimallee 3

Apr 30, 2014 | 04:00 PM

Vincent Trageser: Classification of principal bundles in algebraic topology

Location: Arnimalle 3, SR005

Apr 23, 2014 | 04:00 PM

Victoria Hoskins: Introduction to A^1- homotopy theory of schemes

Location: SR 005, Arnimallee 3

Apr 16, 2014 | 04:15 PM

Anna Wißdorf: The theorem of Mehta-Ramanathan

Location: Arnimallee 6, SR 025/026

Feb 12, 2014 | 04:15 PM

Nikolai Beck: Wonderful compactifications

Location: Arnimallee 6, SR 025/026

Feb 05, 2014 | 04:15 PM

Anna Wißdorf: Introduction to Arakelov Geometry II: Arakelov principal bundles

Location: Arnimallee 6, SR 025/026

Jan 22, 2014 | 04:15 PM

Eva Martínez: Introduction to Arakelov Geometry I: Arakelov vector bundles over arithmetic curves

Location: Arnimallee 6, SR 025/026

Jan 15, 2014 | 04:15 PM

Victoria Hoskins: Towards symplectic and hyperkähler quotients for non-reductive groups

Location: Arnimallee 6, SR 025/026

Jan 08, 2014 | 04:15 PM

Anna Wißdorf: Betti numbers of the moduli space of Higgs bundles of rank 2 and degree 1

Location: Arnimallee 6, SR 025/026

Dec 18, 2013 | 04:15 PM

Nikolai Beck: The gauge theoretic moduli space

Location: Arnimallee 6, SR 025/026

Dec 11, 2013 | 04:00 PM c.t.

Joana Cirici: Hitchin's Existence Theorem

Location: Arnimallee 6, SR 025/026

Dec 04, 2013 | 04:00 PM c.t.

Ángel Muñoz: Stability of Hitchin pairs

Location: Arnimallee 6, SR 025/026

Nov 27, 2013 | 04:00 PM c.t.

Joana Cirici: Uhlenbeck’s Compactness Theorem

Location: Arnimallee 6, SR 025/026

Nov 20, 2013 | 04:00 PM c.t.

Eva Martinez: Sobolev spaces of sections in fiber bundles

Location: Arnimallee 6, SR 025/026

Nov 13, 2013 | 04:15 PM

Vincent Trageser: Review of classical Sobolev theory

Location: Arnimallee 6, SR 025/026

Nov 06, 2013 | 04:00 PM c.t.

Ángel Muñoz: Hitchin’s self-duality equations

Location: Arnimallee 6, SR 025/026

Oct 30, 2013 | 04:00 PM c.t.

Arijit Dey: Bundles on toric varieties

Location: Arnimallee 6, SR 025/026

Oct 23, 2013 | 04:15 PM

Eva Martinez: Moduli spaces of stable rank 2 vector bundles on flag manifolds

Location: SR 005, Arnimallee 3

Oct 16, 2013 | 04:00 PM c.t.

Juan Pons: Donaldson’s proof of Narasimhan-Seshadri

Location: SR 005, Arnimallee 3

Jul 10, 2013 | 04:00 PM c.t.

Emilio Franco: Refined Hitchin-Kobayashi correspondence on elliptic curves

Location: SR 005, Arnimallee 3

Jul 03, 2013

Nikolai Beck: Gauge theory of ﬁber bundles

Location: SR 005, Arnimallee 3

Jun 19, 2013 | 04:00 PM c.t. - 06:00 PM

Anna Wißdorf: The Theorem of Narasimhan and Seshadri

Location: SR 005, Arnimallee 3

Jun 12, 2013 | 04:00 PM c.t. - 06:00 PM

Joana Cirici: Computing the E-polynomial of character varieties

Location: SR 005, Arnimallee 3

Jun 05, 2013 | 04:00 PM c.t. - 06:00 PM

Juan Pons: Counting points of character varieties over ﬁnite ﬁelds.

Location: SR 005, Arnimallee 3

May 29, 2013 | 04:00 PM c.t. - 06:00 PM

Daniela Prata (Campinas, Brazil)

Location: SR 005, Arnimallee 3

May 24, 2013 | 11:00 AM - 01:00 PM

Simone Marchesi (Campinas Brazil)

Location: SR 130, Arnimallee 3, Hinterhaus

May 23, 2013 | 11:00 AM - 01:00 PM

Ángel Muñoz: Abelianization of the Hitchin system

Location: SR 005, Arnimallee 3

May 15, 2013 | 04:00 PM c.t. - 06:00 PM

Anna Wißdorf: Construction of the Harder-Narasimhan reduction

Location: SR 005, Arnimallee 3

May 08, 2013 | 04:00 PM c.t. - 06:00 PM

Anna Wißdorf: The Harder–Narasimhan reduction of a Higgs bundle.

Location: SR 005, Arnimallee 3

Apr 24, 2013 | 04:00 PM c.t. - 06:00 PM

Nickolai Beck: The moduli space of Higgs bundles.

Location: SR 005, Arnimallee 3

Apr 17, 2013 | 04:00 PM c.t. - 06:00 PM

Anna Wißdorf: Symplectic and Orthogonal Instantons

Location: SR 025/026, Arnimallee 6

Feb 06, 2013 | 04:00 PM c.t. - 06:00 PM

Nikolai Beck: Explicit Examples of Instanton Moduli Spaces II

Location: SR 025/026, Arnimallee 6

Jan 23, 2013 | 04:00 PM c.t. - 06:00 PM

Nikolai Beck: Explicit Examples of Instanton Moduli Spaces

Location: Arnimallee 6, SR 025/026

Jan 09, 2013 | 04:00 PM c.t. - 06:00 PM

Joanna Cirici: The Penrose Transform III : Cohomology and massless fields

Location: SR 025/026, Arnimallee 6

Dec 19, 2012 | 04:00 PM c.t. - 06:00 PM

Patricia Borges dos Santos: Complex ADHM equations and sheaves on P^3

Location: Arnimallee 6, SR 025/026

Dec 05, 2012 | 04:15 PM - 06:00 PM

Elena Martinengo: The Penrose Transformation

Location: Arnimallee 6, SR 025/026

Nov 28, 2012 | 04:15 PM - 06:00 PM

Juan Pons Llopis: From Differential to Algebraic Geometry: Penrose Twistor Spaces

Location: Arnimallee 6, SR 025/026.

Nov 21, 2012 | 04:00 PM c.t. - 06:00 PM

E.F.Gomez: Yang-Mills Equations and the Instanton Classification Problem

Location: Arnimallee 6, SR 025/026

Nov 14, 2012 | 04:00 PM - 04:45 PM

Dates

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