Ralph Martin Kaufmann

Purdue University; Department of Mathematics

150 N. University Street; West Lafayette, IN

Phone: (765) 494-1205; Fax: (765) 494-0548

e-mail: rkaufman@math.purdue.edu URL: http://www.math.purdue.edu/~rkaufman

Homological Algebra

Syllabus

Office hours: TBA and by appointment

References:

[GM] Gelfand Manin: Methods of Homological Algebra

[W] Weibel: An introduction to Homological algebra

more references might be added.

Number

Due

HW

[GM] p14, Ex 1, p 67 Ex 6., p91, Ex 3, 8

and problem sheet 1

Feb 14

Topics for presentation. 2 students for each topic. One topic per class. Check back with me for questions.

Topic |
Speakers |
Date |

Derived functors from the derived category point of view. GM III.6 | Jason+Yongheng | 4/9 |

Hilbert's Theorem. GM III 15-25. | Matt + Nicholas | 4/11 |

Sheaf Cohomology Part I. GM I.5, II 4, II,6,7,II 6.15-18. | Arnold + Jake | 4/16 |

Sheaf Cohomology Part II. GM III.8 | Byeongho + Yu | 4/18 |

Triangulated categories Part I. GM IV 1 and 2. | Andres + Andrew | 4/23 |

Triangulatied categories Part II
GM IV 4 Perverse sheaves. |
Gabriel Artur |
4/25 |