ALGECOM-11

 

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http://csh.depaul.edu/departments/mathematical-sciences/Pages/default.aspx



Algebra, Geometry and Combinatorics Day (AlGeCom) is a one day, informal meeting of mathematicians from the University of Illinois, Purdue University, IUPUI, Loyola University Chicago , DePaul University, and nearby universities, with interests in algebra, geometry and combinatorics (widely interpreted).

Further details will be posted here as they become available. Or you may contact the University of Illinois organizers Hal Schenck and Alexander Yong, or the Purdue organizers Uli Walther and Saugata Basu or IUPUI organizer Evgeny Mukhin, or the Loyola organizer Peter Tingley or the DePaul organizer Chris Drupieski.


Date:   October 18, 2014

Location: Department of Mathematics at DePaul University  Chicago (Lincoln Park Campus)

Registration is free. To pre-register, email the local organizer Christopher
Drupieski (cdrupies@depaul.edu) by October 8, indicating whether you plan to
participate in the poster session.

Limited travel support is available for graduate students. To apply, email
Christopher Drupieski (cdrupies@depaul.edu) by September 15 with: the name of
your university, the name of your advisor, a summary of your research interests,
a summary of your anticipated travel expenses, and whether you plan to
participate in the poster session. Funding decisions will be made by September
20.

For a map, click
here


Morning talks will be in SAC (Schmitt Academic Center), Room 254.

Afternoon talks will be in SAC (Schmitt Academic Center), Room 254.

Poster session and afternoon tea will be in ???.

The best place to park: Visitor parking is available in the Clifton
    Parking Deck at 2330 N Clifton Ave, and in the Sheffield Parking Garage at
    2331 N Sheffield Ave. Visitors can receive the DePaul parking rate if a
    validated ticket is presented to the parking attendant. Parking validation
    machines are located on the first floor of the Schmitt Academic Center (near
    the parking office, around the corner from The Bean), and in the Student
    Center.



Speakers  and schedule:

Coffee and pastries          9-10am  (location TBA)

 

Daniel Nakano (UGA) 10:00-10:55am

Title:  Tensor Triangular Geometry with Applications to Classical Lie
Superalgebras

Abstract.  Tensor triangular geometry as introduced by Balmer is a powerful
idea which can be used to extract the ambient geometry from a given tensor
triangulated category. In this talk, I will present a general setting for a
compactly generated tensor triangulated category which enables one to
classify thick tensor ideals and the spectrum Spc. Examples will be given
which illustrate the interactions between the algebra and the geometry.

For a classical Lie superalgebra g, I will show how to construct a Zariski
space from a detecting subalgebra f and demonstrate that this topological
space governs the tensor triangular geometry for the category of finite
dimensional g-modules which are semisimple over g_0. A complete
determination of thick tensor ideals and Spc will be given for the Lie
superalgebra gl(m|n).

These results represent joint work with Brian Boe and Jonathan Kujawa.



Melody Chan (Harvard) 11:30am-12:25pm

Title:  Staircase paths, Young tableaux, and Brill-Noether curves

Abstract:  A staircase path is a finite lattice path in which each step is either "up"
or "right." I'll start by telling you a surprising theorem on staircase
paths that arises from considering random standard Young
tableaux. Then I'll show you how we use this result to give a new proof,
using degenerations and limit-linear series, of the classical formula of
Eisenbud-Harris and Pirola for the genus of the Brill-Noether curve. This is
joint work with Lopez, Pflueger, and Teixidor.




Lunch          12:30-2:00pm


Christine Berkesch Zamaere (Minnesota) 2:00-2:55pm

Title: Free complexes on smooth toric varieties

Abstract: I will discuss work related to strengthening homological tools
over Cox rings of smooth toric varieties. In short, it appears that minimal
free resolutions are not always the best complexes to capture geometry. This
is joint work in progress with Daniel Erman and Gregory G. Smith.




John Stembridge (Michigan)   3:05-4:00pm

Title: Generalized stability of Kronecker coefficients

Abstract: Kronecker coefficients are tensor product multiplicities for
symmetric group representations. It is well-known that not much is known
about them. In this talk we plan to discuss some new theorems and
conjectures about how these coefficients stabilize or de-stabilize in
various
limiting cases. A typical (easy) case is the classical result of Murnaghan
that corresponds to incrementing the first rows of a triple of Young
diagrams.


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Poster session and informal discussions   4:00-5:00pm (location TBA)

Poster session exhibits:






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Banquet: 5:15pm  at Cafe Ba-Ba-Reeba, 2024 N. Halsted, Chicago, IL 60614
(http://www.cafebabareeba.com/)



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Local Organizer: Chris Drupieski (cdrupies@depaul.edu)

Public Transportation: The Lincoln Park Campus of DePaul University is immediately adjacent to the
    Fullerton Ave station of the CTA Red, Brown, and Purple "L" lines. The
    Fullerton station is also served by CTA buses #37 and #74. For CTA maps and
    schedules, click here. DePaul's Lincoln Park Campus is also relatively easy to reach via the Metra
    commuter rail service. Riders can walk approximately 1.2 miles from the
    Clybourn Metra platform to the Lincoln Park Campus, or they can transfer from
    one of Metra's terminals in the Loop to the CTA Brown Line, and then take the
    Brown Line to the Fullerton station.

Parking: Visitor parking is available in the Clifton
    Parking Deck at 2330 N Clifton Ave, and in the Sheffield Parking Garage at
    2331 N Sheffield Ave. Visitors can receive the DePaul parking rate if a
    validated ticket is presented to the parking attendant. Parking validation
    machines are located on the first floor of the Schmitt Academic Center (near
    the parking office, around the corner from The Bean), and in the Student
    Center.

Lodging: Economical options: The SpringHill Suites Chicago/O'Hare
 is holding a block of rooms under the group name
"DePaul Algebra Day" at the rate of $114 per night, plus tax, for the
nights of October 17 and 18. See
here for reservation details. Attendees can book a room online at
www.marriott.com, or by calling the hotel directly and
mentioning the group name "DePaul Algebra Day".
NOTE: the hotel only promises to hold the block of rooms at the group rate through September 26!!!


The Holiday Inn Chicago O'Hare Area [www.ihg.com], the Chicago
Marriott O'Hare [www.marriott.com], and the Renaissance Chicago O'Hare
Suites Hotel [www.marriott.com] are also located nearby. These hotels
are located near the Cumberland station on the CTA Blue Line, but the
fastest and most direct transportation option to DePaul's Lincoln Park
campus is by car. Taxi fares are about $35 each way, but when you take
the lower room rates into account, this is still a cheaper overall
option than most Lincoln Park or downtown Chicago hotels. (The Blue
Line may be a good option for attendees who plan to spend Saturday
evening in downtown Chicago.)

The local organizer will help coordinate ride sharing to and from the
"economical" hotels. Graduate students who are requesting travel
support may wish to include taxi costs in their travel cost estimates.

City-living option: Due to an opthalmology convention being held
October 18-21, many hotels in and around Lincoln Park and downtown
Chicago are charging above average rates for the October 18 weekend
(and some hotels are already fully booked). But for attendees who
crave city life, some options include:
 *  Super 8 Chicago [www.super8.com]: Rooms start around $180 plus tax
    per night. Located near the CTA Red Line Jarvis station (25-30
    minute ride to DePaul, $2.25 each way).
 *  Old Chicago Inn [www.oldchicagoinn.com]: Most rooms $160 plus tax
    per night. Some rooms have shared bathrooms. Located near the
    Belmont L stop (10 minute L ride to DePaul).
 *  City Suites Chicago [www.chicagocitysuites.com]: Rates start
    around $290 per night plus tax. Near the Belmont L stop.
 *  Hotel Lincoln [www.jdvhotels.com]: Across the street from Lincoln
    Park, and practically on Lake Michigan. Rates for the October 18
    weekend start around $370 per night plus tax.
 *  Priceline, Orbitz, etc.: Some hotels may still be offering one or
    two rooms at discounted rates through various travel web sites.
    Your mileage may vary.







Banquet: ??? at "???" at