Homological Conjectures in Commutative Algebra

Workshop For Graduate Students, Postdocs, and Young Researchers

Nov 18 - 20, 2016

at the University of Illinois at Chicago (UIC)

Support provided by NSF RTG grant DMS-1246844.

Program Information

Overview: This workshop, aimed at graduate students, postdocs, and young researchers, will expose participants to some  current research topics on the storied homological conjectures in commutative algebra. The workshop will have lecture series by the experts listed below on topics close to their own research, including a mix of lectures and problem sessions.


  • Chris Skalit (UIC) - Introduction
  • Mel Hochster (Michigan) - An overview of the homological conjectures, recent progress on the direct summand conjecture, big Cohen-Macaulay modules and algebras, and lim Cohen-Macaulay sequences
  • Mark Walker (Nebraska) - Tackling homological conjectures using algebraic K-theory
  • Linquan Ma (Utah) - The vanishing conjecture for maps of Tor, splinters, and derived splinters


(Organized by: Chris Skalit and Kevin Tucker)


Funding: Limited funding for travel and accommodation is available; apply by October 10 for full consideration.  Women and minorities are particularly encouraged to apply. For questions about the workshop in general, please email Chris Skalit at cskali2@uic.edu.


Tentative Schedule:


  • Friday:
    • Introductory Lecture 5:30-6:30pm in Lecture Center C6
    • Workshop Dinner 7:00pm
  • Saturday:
    • Coffee and Refreshments 8:30-9:30am in SEO 300
    • Minicourse One (Hochster)  9:30am-12:30pm in Lecture Center C6
    • Lunch (provided) 12:30-2:00pm in SEO 300
    • Minicourse Two (Ma) 2:00-5:00pm in Lecture Center C6
  • Sunday:
    • Coffee and Refreshments 8:30-9:30am in SEO 300
    • Minicourse Three (Walker) 9:30am-12:30pm in Lecture Center C6


Food: We will have a workshop dinner on Friday night at Giordano's Pizza (815 W Van Buren St) next to campus.  If you are coming in from out of town and don't make it to the introductory lecture, please feel free to come directly to the restaurant and meet us there.  On Saturday and Sunday morning before the lectures, there will be some beverages (coffee, tea, juice) and refreshments (fruit, pastries) provided.  Lunch on Saturday will also be catered in,  and the schedule has intentionally been left open on Saturday night for participants to have a chance to explore the city on their own.



Travel Information

Getting to UIC: The workshop will be held in the UIC Math Department, which is located in the Science and Engineering offices building (SEO, 851 S Morgan St, Chicago, IL 60607).  Signs with instructions on where to go will be throughout in the building, but you can also come to Kevin Tucker's office (SEO 417) looking for more information as well.


  • By car: UIC is easily accessible by car, and is located just off of either the 90/94 or 290 interstates.  If you are coming into UIC, it's best to park at the Halsted Parking Structure at the NE corner of the Taylor and Halsted intersection.  You will have take a ticket for the parking garage; if we know in advance you will be parking there, you can bring your ticket in to the workshop and we can validate it to cover the cost.  Note that in/out privileges are not included in the validation.  Also note that the parking at the Crown Plaza is far more expensive, and should be avoided if possible. It is recommended that you plan to park your car in the Halsted Parking Structure for the weekend instead.


  • By train/bus:  UIC is also close to Chicago's Union Station with convenient Amtrak trains / Megabus routes to many locations in the region.  A cab to UIC from Union Station should cost under $10.  The Greyhound station is also very close by, and an easy walk to UIC.


  • By air: Chicago has two major airports, O'Hare (ORD) and Midway (MDW), and it is easy to get to UIC from either one (many travel sites will let you look for both simultaneously using the airport code CHI).


If you are flying into O'Hare, you can take a Blue Line train (costing $5) into the city (towards the loop or Forest Park) which stops right next to the UIC campus (at the UIC/Halsted station) and in walking distance (half a mile) to the Crown Plaza hotel.  For reference, a taxi from O'Hare to downtown will cost around $45 before tip (and can be paid with a credit card).


If you are flying into Midway, you can take an Orange Line train (costing $2.50) into the city (towards the loop), which will take you within walking distance of the Crown Plaza hotel (about a quarter of a mile from the Washington/Wells station) or allow you to transfer to the Blue Line (at the Harold Washington Library station) which stops right next to the UIC campus (at the UIC/Halsted station).  Another good option is to take the Orange Line into the loop (e.g. Harold Washington Library station) and then take a short cab ride to UIC or the Crown Plaza (at most $10).  For reference, a taxi from Midway to downtown will cost around $25 before tip (and can be paid with credit card).