WARTHOG 2022
Infinite-dimensional methods in commutative algebra
Workshop on Algebra and Representation Theory, Held on Oregonian Grounds
June 26-30, 2022
University of Oregon
Eugene, OR
A complete set of lecture notes, with exercises embedded, together with a forward and references, can be found here.
Schedule
The schedule and timing are subject to change.
Exercises and lecture notes will be linked from this webpage when available.
Pastries and Coffee will be available in the lecture room starting at 830AM each morning.
On Sunday all talks will be held in Tykeson 140. The south-facing door of the building will be unlocked. On Monday through Thursday, talks will be in HEDCO 142.
Most mornings have time alotted for triage, where the main speaker gets to emphasize certain ideas and make sure everyone is on the same page, depending on how the exercises go. If triage runs short the first lecture will start earlier to give more time for lunch later. TL;DR: make sure you're in the lecture room at 9!
Sunday:
900-910: Opening Remarks
915-1015: Stillman's Conjecture (Andrew Snowden), Notes
1015-1055: Exercise
1115-1215: Ultraproducts (Andrew Snowden), Notes
1215-1255: Exercise
1255-200: Lunch.
200-300: Limits of polynomial rings (Eric Ramos), Notes
300-340: Exercise
400-500: Big polynomial rings (Karthik Ganapathy), Notes
500-540: Exercise
Monday:
900-910: Triage
915-1015: Review of commutative algebra (Andrew Snowden), Notes
1015-1055: Exercise
1115-1215: Representations of GLn (Ben Elias), Notes More Notes
1215-1255: Exercise
1255-200: Lunch.
200-300: Regular sequences in the ultraproduct ring (Andrew Snowden), Notes
300-340: Exercise
400-500: Schur-Weyl duality and polynomial functors (Ben Elias), Notes More Notes
500-540: Exercise
Tuesday:
900-1000: Small subalgebras (Karthik Ganapathy), Notes
1000-1040: Exercise
1100-1200: Stillman's conjecture via ultraproducts (Andrew Snowden), Notes
1200-1240: Exercise
1240-200: Lunch.
No later than 137PM: Take the number 28 bus at 14th and Kincaid, to Martin St and Amazon (arriving 155), for an afternoon hike up Spencer Butte. Bring water! Bring change for the bus (two dollars each way, or a buck seventy-five exact change). Don't be late or you have to wait until 237.
600-900: Evening Pizza Party at University Park
Wednesday:
900-910: Triage
915-1015: Representations of GL-infinity (Andrew Snowden), Notes
1015-1055: Exercise
1115-1215: GL-varieties (Robert Laudone), Notes
1215-1255: Exercise
1255-200: Lunch.
200-300: The embedding and shift theorems (Andrew Snowden), Notes
300-340: Exercise
400-500: Draisma's theorem (Andrew Snowden), Notes
500-540: Exercise
Thursday:
900-910: Triage
915-1015: Stillman's conjecture via GL-varieties (Andrew Snowden), Notes
1015-1055: Exercise
1115-1215: Beyond Stillman's conjecture (Robert Laudone), Notes
1215-1255: Exercise
1255-200: Lunch.
200-300: Ultrahomogeneous forms (Andrew Snowden), Notes
300-340: Exercise
400-500: Universality of strength (Alessandro Danelon), Notes
The End