Seminar:
advanced topics in linear algebra
Spring
semester 2018
Mondays 13:00 – 14:45, Room Y27-H46 at the math
institute.
Coordinator: Jonathan
Lorand
Syllabus
(talk descriptions, with references): here.
Guidlines
for written summaries: here.
Schedule
of meetings:
Warning:
the
summaries below may contain errors!
If you see one that you
think is serious, please let the author know.
19.02.18
Meeting 0: Introduction
to topics; organization.
Speaker:
Jonathan
26.02.18
Meeting 1: Introduction
to universal algebra.
Speaker:
Julia P.
Summary
05.03.18
Meeting 2: Introduction
to category theory.
Speaker:
Simon
Summary
12.03.18
Meeting 3: Posets
and lattices.
Speaker:
Abhishek
Summary
19.03.18
Meeting 4: Rings,
modules, algebras.
Speakers:
Noemi (rings
& modules), Celine
(algebras)
Summary,
Summary
26.03.18
Meeting 5: Polynomial
algebras.
Speaker:
Carina (polynomial
algebras)
Summary
02.04.18
No meeting (Easter break)
09.04.18
Meeting 6: Theory
of a linear transformation.
Speaker:
Julia G and
Davide
Summary
16.04.18
No meeting (Sechselaeuten)
23.04.18
Meeting 7: Modules
over a principal ideal
domain.
Speaker:
Niklas
Summary
30.04.18
Meeting 8: Endomorphisms
revisted.
Speaker:
Sarina
Summary
Extra
report: Quivers,
Coxeter groups, and Gabriel’s theorem.
Author:
Melena
Summary
07.05.18
Meeting 9: Introduction
to quiver representations and Coxeter functors.
Speakers:
Edona
and
Marija
Summary
14.05.18
Meeting 10: Gabriel’s
theorem
Speakers:
Marino (more
on quiver representations),
Rafael
(Gabriel’s
theorem)
Summary,
Summary
21.05.18
No meeting (Pfingsten)
28.05.18
Meeting 11: Poset
representations, the four subspace problem.
Speaker:
Guanyin
Summary