Richard Brualdi, University of Wisconsin-Madison, was the principal speaker. He is one of the
founders and continuing leaders of the area of Combinatorial Matrix
Theory, author of more than 200 papers, and an award-winning teacher.
The conference was organized by Leslie Hogben, Iowa State University,
and Bryan Shader, University of Wyoming.
The conference discussed the symbiotic relationship between
matrices
and graphs and the significant role that they jointly play in pure and
applied mathematics, science, and technology. In addition
to Prof. Brualdi's lectures (held during the mornings), this conference
offered collaborative (AIM-style) research groups with leading experts
in combinatorial matrix theory (meeting in the
afternoons) that began work on research problems.
Lectures
- Nonnegative matrices and symmetric matrices; graphs and bipartite graphs
- Graph eigenvalues
- Applications of Rado's Theorem
- Colin de Verdiere number $\mu(G)$
- Classes of matrices of 0s and 1s
- Matrix sign patterns - a peek in two directions
- Levy/Desplanques, Taussky, Gershgorin and More
- Tournaments
- Matrix Polytopes
- Digraphs and Eigenvalues of (0,1)-matrices
Research groups
- Minimum rank - Hogben - 160 Carver
- Inertias - Barrett & Hall - Carver 74
- Sign Patterns - Olesky and van de Driessche - Carver 98
- Skew-symmetry - McDonald - Carver 128 or 305
- Tournaments (T^3) - Shader - Carver 190
Poster Session and Reception
The following students presented posters (list including titles)
Craig Erickson
Colin Garnett
Kathleen Kiernan
Seth Meyer
Reshmi Nair
Travis Peters
Darren D. Row
Michael Schroeder
John Sinkovic
The Poster Session was well attended.
The Poster Session was preceded by a
reception.
Follow-up activities
For research related to the topics of this conference, consider the BIRS special issue of Linear Algebra and its Applications.
Related special sessions are happening and/or will be proposed at AMS Sectionals:
Minimum rank problems, organized by Lon Mitchel and Sivaram Narayan,
November 6-7, 2010 (Saturday - Sunday) University of Richmond,
Richmond, VA (2010 Fall Southeastern Section Meeting)
Special sessions will be proposed for October 14-16, 2011 (Friday -
Sunday) University of Nebraska-Lincoln, Lincoln, NE (2011 Fall Central
Section Meeting)
Remember the AMS 2013 spring sectional at ISU
Rocky Mountain Mathematics Consortium hosts summer schools
There are REUs with topics related to this conference:
Announcements
Welcome dinner
The Department of Mathematics will host the Conference Welcome Dinner
at Olde Main Brewing Co. Restaurant, 316 Main Street Ames, IA (515)
232-0553 at 7 PM Sunday July 11. Participants who have cars
should drive themselves and arrive at 7 PM (see map below). Those
who arrive by air will be transported in vans from Frederiksen Court to
the restaurant. The vans will leave at 6:45 PM from the parking
lot near the apartments where participants are staying.
Participants who are vegetarian should already have notified the iSU Math Department.
Monday morning
There are several conference participants who have been living in
Frederiksen Court for more than a month. They have volunteered to
act as guides Monday morning and will come to the apartments of new
arrivals about 7:50 AM to walk with anyone who would like to walk in a
group to Carver Hall. These students will be introduced at the
Welcome Dinner.
WebCT Access
ISU people who are registered for the conference should have
been enrolled in the WebCT class and should be able to log in with ISU
netID and password. If you have a problem, e-mail Leslie to verify
enrollment only. Non ISU people who are registered should have been
e-mailed a codes to access this WebCT class. If you did not get this
e-mail, e-mail Leslie. If you need help getting onto WebCT or using
it, ask someone else from ISU.
The code for non-ISU people will expire on July 19, so download any material you want to keep.
Computer/print access
Computer lab and printing access for non-ISU people can be arranged through the research group leaders.
Lunches
The group will have lunch M, T, W, Th in the Mezzanine at Union Drive
Marketplace = UDM (get food, then go upstairs). When you swipe your
card to pay for lunch they can tell you how much money you have left.
You can use the card for any meal at UDM, also to pay for food/drink at
Freddy Community Center/Hawthorn Market.
Group photo
A group photo will be taken immediately following the end of the first lecture on Tuesday morning (Richard Brualdi's Lecture 3).
Tuesday afternoon
After lunch on Tuesday there will be a brief session in 305 to
break into research groups. Once the research groups have formed,
they will go to separate rooms. If you wish to join an afternoon
research group, you should think about which of the problems presented
Monday afternoon interest you. Note that you are selecting an
area;
other questions may be developed by the group as research
progresses.
You can join at most one of these groups.
Wednesday evening Poster Session and Reception
Nine graduate students will present posters at
7:00 PM in Carver 202. The poster session will be preceded by a
reception at 6:30 in Carver 400. Students may set up posters between 6
and 6:30.
Friday schedule
On Friday there will be one research report at 8:30 AM.
Richard Brualdi's first lecture will start as usual at 9:00.
On Friday afternoon there will be four more research reports from 3 - 5 PM.
We recommend breakfast
at Union Drive Marketplace (where we have been having lunch). You can
use your meal card if it still has money. There will NOT be
coffee or snacks in 400 Carver before the 8:30 talk. There will be
coffee, pop, & snacks at mid-morning break and over the lunch break.
The farewell dinner will be at 5:30 at King Buffet. Vans for
those without cars will leave from Carver at 5:15. Those with
cars should return to their cars and drive to King Buffet, 1311 Buckeye
Avenue, Ames, IA.
Ames Aquatic Center (walking distance from Freddy) map
Travel
Arrival information
AIR If you are flying, you should fly to Des Moines (DSM). There will
be a welcome dinner that evening at 7 PM, so if possible please plan
for your flight to arrive by 4:30. The conference will run through Friday evening, and
everyone has housing through Saturday morning, so you should plan for a
Saturday departure. Departure from Ames for DSM should be 2 hours
before flight time. Shuttle service will be provided by Executive Express
for participants who fly. You should reserve your own
shuttle through the on-line reservation system using the following
method (this will work only if you are a CBMS registered participant,
in which case Executive Express already has your name):
You should reserve your own shuttle through the on-line reservation system using the following method:
1) On the main page, click on the reservation link.
2) At the bottom of the reservation page, enter the group code CBMS.
3) You will then see the reservation page with a message "Welcome to the ISU Math CBMS" at the top.
4) Follow the instructions to make your reservation but do not enter a
credit card number. The CBMS group defaults to direct billing to
ISU Math but it may still ask for a credit card number, which you
should not supply.
5) Please select Home drop off/pick up, since you will be delivered to
the check in point at Maple Willow Larch or to Frederiksen Court (if
going to MWL, another van will take you to FC). The Home drop off
should be listed as Maple-Willow-Larch if you arrive in DSM by 7:15 PM
and Frederiksen Court if you arrive later. The pick-up point
should be Frederiksen Court if you leave Saturday.
6) If you are arriving very late (after the 10:45 PM shuttle), in the
directions/other info section you should indicate when your flight is
actually arriving, and Executive Express will try to make arrangements
for you.
Note: Do not worry if you did not follow these directions
exactly, we work closely with Executive Express to get everyone where
they need to be.
DRIVING Ames is 30 miles
north of Des Moines on I-35. From the south take exit 111B to US
30 West and drive about 6 miles to the ISU-University Boulevard
exit. Go right (north) on University Boulevard to Lincoln Way
about 1.5 miles. Go left (west) on Lincoln Way about 1/4 mile to
first traffic light (Beach Ave) and turn right. MWL is on your
right. From the north take exit 113 to 13th St.. Turn right
(west) and go about 4 miles to Grand Ave. Gos left (south) on
Grand about a mile to Lincoln Way. Turn right (west) and follow
Lincoln way for a mile or so past University Boulevard to Beach Ave as
above. First go to Maple-Willow-Larch Conference Desk as directed
above to get your keys/keycard and then proceed through campus to
Frederiksen Court. Maps are below.
You should plan to arrive in Ames
by 6 PM.
Ames maps
ISU campus map
Maps showing check-in and housing locations
Departure information
Passengers departing by car should check out at the same place
(MWL) they checked in- if no one is at the desk there should be a key
drop.
Passengers departing by air should already have received an e-mail about Executive Express shuttle pick-up.
We recommend checking in and printing your boarding pass the day before
departure - see your research group leader or Minnie Catral for print
access for boarding passes.
Saturday departures by air: You will be picked up at Freddy by the EE shuttle. The EE shuttle will stop briefly at MWL for key drop.
Friday afternoon departures by air:
Bring your luggage to the math office between 8 and 8:30 Friday
morning.
Give your key folder (everything except your meal card) to Leslie after
the last morning lecture (if you keep your meal card to use at lunch
Friday, give your meal card to the math office right after lunch).
Application
Applications are now closed.
We have provided at least local funding (housing and some food) to most
participants and also travel support (within the US) for graduate
students and post-docs and some faculty participating in the
conference.
IMA PI members may use IMA/PI funds to support travel of their
personnel to this conference (faculty and graduate students at IMA PIs
were also welcome to apply through this application process for
conference funding). All participants must have applied and be
accepted even if support is not required because space is limited.
Web page
maintained by Leslie
Hogben
Last Update: July 17, 2010
