The main focus of the conference, to be held at the University of Waterloo, will be on Flows and MinMax equalities.
There have been recent exciting advances towards Tutte's famous 3-, 4-, and 5-flow conjectures. Extending Thomassen's breakthrough work, it is now known that the 3-flow conjecture (actually Jaeger's strengthening of it) holds for 6-edge-connected graphs. The entire conjecture would follow if the 6 could be replaced by 5.
On the other hand, there are long-standing open questions in MinMax equalities involving directed cuts. The Lucchesi-Younger Theorem, a central result in Combinatorial Optimization, asserts that, in any directed graph, the maximum number of edge-disjoint directed cuts is equal to the minimum size of a transversal of directed cuts. A dual statement, that the maximum size of a set of pairwise disjoint transversals is equal to the minimum size of a directed cut, remains open after more than 30 years.
A principal goal of this conference is to stimulate further work in both these areas.
We will take this occasion to acknowledge Daniel H. Younger's long career in mathematics. Dan arrived at Waterloo in 1967 and spent the next 40
Conference Program
The
conference
program
is
available
at
the
Fields
web
site.
Lectures
will
be
held
in
the
Davis
Centre
(DC).
The
conference
dinner
will
be
in
Federation
Hall
(Fed).
A
campus
map,
which
includes
parking
locations,
can
be
found
here.
Organizers
- Christiane Campos (Campinas)
- Ricardo Dahab (Campinas)
- Bruce Richter (Waterloo)
Invited Speakers
- Paul Seymour (Princeton)
- Claudio Lucchesi (UFMS)
- Charles Little (Massey)
Accommodations
Attendees should make their own reservations for accommodations. We have made no special arrangements.
Here are three possibilities, all within easy walking distance of University of Waterloo.
Hotel
Laurier:
The
King
Street
Residence
(200
King
Street
North,
Waterloo)
contains
private
bedrooms
(with
single
beds)
and
private
washrooms.
There
are
common
lounges
with
a
fridge,
stove,
microwave
and
television.
The
rate
is
$79.00/night,
plus
13%
HST
and
includes
a
hot
breakfast
in
the
dining
hall,
wifi
and
parking.
For
more
information
or
to
reserve
accommodation
please
email
hotel@wlu.ca
or
call
1-519-884-0710,
x2771.
Web:
http://www.laurierconferences.ca/index-Summer.htm
Delta Hotel:
110
Erb
Street
West
Waterloo,
Ontario
N2L
0C6
Canada
Reservations:
1-888-890-3222
Web: https://www.deltahotels.com/Hotels/Delta-Waterloo
Waterloo Hotel
2
King
St.
N
Waterloo,
Ontario,
N2J
2W7
Phone:
1-519-885-2626
Web:
http://thewaterloohotel.ca
E-mail:
info@thewaterloohotel.ca
Further Information
For information on registration, student support, and requesting to give a contributed talk, please see the conference web site.