NCGOA Research Training Group Seminar
2008-2009

Fall 2008
Monday 09/15/08  - Dan Ramras - (orgaanizational meeting)


Monday 09/22/08  - Vladimir Chaynikov - Algebraic K-Theory: K_0


Monday 09/29/08  - Thomas Sinclair - K_0 for Dedekind Domains


Monday 10/06/08  - Hang Wang -  Algebraic K-Theory: K_1


Monday 10/13/08  - Bogdan Nica -  Elementary generation of the special linear
                                                                     group


Monday 10/27/08  - Bogdan Nica -  Elementary generation of the special linear
                                                                     group II


Monday 11/03/08  - Qayum Khan - The fundamental theorem of   
                                                                     Bass--Heller--Swan


Monday 11/10/08  - Qayum Khan - The fundamental theorem of   
                                                                     Bass--Heller--Swan, II
ABSTRACT: In Part I, we discussed the statement and outline of proof of the fundamental theorem, as well as stated three isomorphisms in lemmas. The first isomorphism used the Hilbert syzygy theorem.

In Part II, we shall review the statements and prove the other two lemmas, which use the Grothendieck devissage theorem and Higman's linearization trick, respectively.  Afterwards, we shall show why the localization sequence of the polynomial ring R[x] splits.

It turns out that Nil-groups appear internally in these three isomorphisms as a technique of proof.  Time permitting, we may discuss why these Bass Nil-groups vanish for regular Noetherian rings.

Monday 11/17/08  - Dapeng Zhou - Relative K-Theory and exact sequences




(Speakers are at Vanderbilt unless otherwise specified).
NCGOA home page

VU math department's weekly calendar

Past NCGOA seminars

Page created by Remus Nicoara