June 4 - 16
Summer 2007
VIGRE
Mini-course
Schedule
Lecture Notes
Arend Bayer
Andrei Caldararu
Alastair Craw
Eric Sharpe
Week One
Monday, June 4
time speaker topic
9:00-10:30am Andrei Caldararu The derived category
mov   mp4
11:00-12:30pm Alastair Craw The category of bound quiver representations
mp4
3:30-5:00pm Eric Sharpe Path integrals & basic QFT
mp4
Tuesday, June 5
9:00-10:30am Andrei Caldararu Triangles, exactness, and derived functors
10:50-12:20pm Alastair Craw Tilting sheaves and exceptional collections
mov   mp4
3:30-5:00pm Eric Sharpe Path integrals & basic QFT
Wednesday, June 6
9:00-10:30am Andrei Caldararu Serre duality & ampleness of the canonical class
10:50-12:20pm Alastair Craw The derived category of projective space & smooth Fano toric surfaces
Thursday, June 7
9:00-10:30am Andrei Caldararu Moduli problems and equivalences
10:50-12:20pm Alastair Craw The derived McKay correspondence conjecture
3:30-5:00pm Eric Sharpe The A, B model topological field theories
Friday, June 8
9:00-10:30am Andrei Caldararu Hochschild homology & cohomology
10:50-12:20pm Alastair Craw Mukai implies McKay
3:30-5:00pm Eric Sharpe Open string B model &
derived categories
Week Two
Monday, June 11
time room speaker topic
9:00-10:00am OSH 202 Arend Bayer Bridgeland's stability
conditions
10:15-11:15am OSH 202 Patrick Clarke Fukaya category
11:25-12:25pm OSH 202 Alastair Craw Wall crossing
phenomena for moduli
of G-constellations
2:00-3:30pm LCB 219
LCB 222
Problem session
3:30-5:00pm LCB 219 Eric Sharpe Landau-Ginzburg models
7:00-8:00pm LCB 121
LCB 222
Problem Session
Tuesday, June 12
9:00-10:00am OSH 202 Arend Bayer Bridgeland's stability conditions
10:15-11:15am OSH 202 Patrick Clarke
11:25-12:25pm OSH 202 Alastair Craw The derived McKay
correspondence beyond
the G-Hilbert scheme
2:00-3:30pm LCB 219
LCB 222
Problem session
3:30-5:00pm LCB 219 Eric Sharpe Landau-Ginzburg models
7:00-8:00pm LCB 121
LCB 222
Problem Session
Wednesday, June 13
9:00-10:00am OSH 202 Arend Bayer Bridgeland's stability conditions
10:15-11:15am OSH 202 Patrick Clarke
11:25-12:25pm OSH 202 Richard Thomas Autoequivalences of
derived categories and
mirror symmetry
Thursday, June 14
9:00-10:00am OSH 202 Richard Thomas Autoequivalences of
derived categories and
mirror symmetry
10:30-12:00pm OSH 202 Patrick Clarke
2:00-3:30pm LCB 219
LCB 222
Problem session
3:30-5:00pm LCB 219 Eric Sharpe Gauged linear sigma
models
7:00-8:00pm LCB 121
LCB 222
Problem Session
Friday, June 15
9:00-10:00am OSH 202 Richard Thomas An application of derived
categories to counting
curves & Gromov-Witten
invariants
10:30-12:00pm OSH 202 Patrick Clarke
2:00-3:30pm LCB 219
LCB 222
Problem session
3:30-5:00pm LCB 219 Eric Sharpe Mirror symmetry
7:00-8:00pm LCB 121
LCB 222
Problem Session
Spiral Jetty By Eric Schramm Salt Lake City skyline by Jason Mathis Delicate Arch Albion Basin By Eric Schramm