Collegium Logicum

Ein Skript zu einem gleichnamigen Vortrag auf der Winterakademie 2011.

Analysis I - Gruppe 9 - WS11/12 - Uni Regensburg

Allgemeine Informationen

  • Termin: Dienstags, 16-18 Uhr
  • Raum: PHY 9.1.08
  • Dozent: Prof. Helmut Abels

Anstehende Termine

20.12.11 16:00 Uhr PHY 9.1.08 Probeklausur

Tensor Products - The Phantom Menace

This script contains two approaches to the dreaded tensor product: Both the Jedi and the Sith explain their side of the force hoping to bridge the gap between algebra and differential geometry. This is a joint work with Jesko Hüttenhain. We presented this work in the Basic Notions Seminar.

The de Rham isomorphism and the Lp-cohomology of non-compact Riemannian manifolds

My diploma thesis based on an article by Gol'dshtein, Kuz'minov and Shvedov.


Upcoming Talks:

Differential Geometry II

This script is based on a handwritten version by Prof. Ballmann. It contains the standard topics of a second semester in Differential Geometry, namely comparison theory, projective and symmetric spaces and Lie groups.

The Hodge Decomposition

A detailled introduction to Hodge theory. Some of the material was presented in the ''Basic Notions'' seminar in WS09/10 in collaboration with Markus Land.

The collected Trivialities of Homological Algebra ususally left to the Reader as an Exercise

A thorough treatment of some selected and very basic topics in homological algebra that are often used in topology, differential geometry and global analysis.

Geodesics, Energy and Variations

Script for a talk held in Prof. Ballmanns seminar on Differential Topology in SS09 at the university of Bonn.

Introduction to Partial Differential Operators

A script containing basic facts concerning PDOs. It is still under construction and far from complete.

Introduction to Smooth Submanifolds

A short arctile discussing the various ways to define submanifolds in R^n and their tangent and normal space.

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