Seminar calendar
After some discussions it was decided that we will take a break in our joint Algebraic Geometry Seminar Linz - Wien in the upcoming semester. Instead we will meet for a joint workshop in a nice place at the end of the semester.
Possible future topics
- This topic is an example (David1 and David2, 2 sessions):
- More details about the topic go here. I would recommend maximum 2 lines, no need to give too many details. It's a good idea to list a few prerequisite concepts.
Favourite topics from voting, in parentheses the number of sessions estimated.
- Divisors: ample and very ample divisors and associated maps; Riemann-Roch theorem (1-2).
- Singularity theory: Classification of singularities and other generalities (1); talk by someone who knows the field to see if we want more.
- GAGA: 1-day lecture-overview by someone who knows it.
- Resolution of singularities: resolution of curve singularities (Hauser-Regensburger); comparison with higher dimension (1-2).
- Schemes: definition and many examples with the intention of gaining intuition for future appearances (1); talk by Josef and/or Niels on their views (alternative definition/approach?).
- AG in robotics: talk by Brian on some applications and problems; further discussion of what he proposes (1).
- Cohomology: to be discussed in 2009.
Linz, Mon 26.Jan.2009
- Talk: "" by Alexandra Fritz.
- Talk: "Riemann-Roch teorem in algebraic number theory" by Claudia Scheimbauer.
- Talk: "" by Eleonora Faber.
Vienna, Tue 13.Jan.2009
- Workshop: Divisors:
- Divisors and curves: Riemann-Roch; classification of curves
- Divisors and surfaces
Linz, Mon 15.Dec.2008 (cancelled)
Vienna, Tue 25.Nov.2008
- Workshop: Divisors:
- Recap of vector bundles
- Definitions of presheaf and sheaf
- Correspondence between vector bundles and locally free sheaves of finite rank
- Talk: "Numerical Statistics and zeros of polynomials" by Josef Schicho.
Linz, Mon 17.Nov.2008
- Talk: "Discussion of the paper Vacuum configurations for superstrings by Candelas, Horowitz, Strominger and Witten", by Dennis Westra.
Vienna, Tue 4.Nov.2008
- Workshop: Divisors:
- exercises and examples on the class group
- Cartier divisors and vector bundles
- Notes by Dennis: http://www.mat.univie.ac.at/~westra/linebundles.pdf
Linz, Mon 20.Oct.2008
- Workshop: Divisors:
- more details on what we did previously and examples
- brief recap of the class group, exercises were proposed
- Talk: "Singularities and knots" by Madalina Hodorog.
Vienna, Tue 7.Oct.2008
- Workshop: Divisors:
- overview of basic definitions and examples
- divisors of rational functions
- linear systems and associated maps
- Talk: "Report on the state of the art in resolution of singularities in positive characteristic" by Herwig Hauser.