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July 8-11, 2015
The Fields-TIMC Workshop on Functions
and Geometries over Finite Fields
Carleton University: Room HP4351
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Organizers:
Daniel Panario, Carleton University
David Thomson, Carleton University
Qiang (Steven) Wang, Carleton University
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Supported
by Fields, Tutte Institute for Mathematics and Computing, and Carleton
University
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Overview
This is focused workshop on three topics in the area of finite fields and
their applications: 1) Curves, functions fields and their codes; 2) Special
functions over finite fields; 3) Finite geometries and codes. These were
chosen due to their mix of mathematical rigour and practical use in communications
and cryptology. In particular, the first and third topics have direct applications
to coding theory: the study of communications robust against transmission
errors. The first and second topics have applications to cryptography: the
first using the arithmetic on curves as a trapdoor function for public-key
cryptography and the second studying functions which are resilient to known
attacks on symmetric-key cryptosystems.
This workshop is held in the week previous to the 12th International Conference
on Finite Fields and Applications (Fq12), which will be held in Saratoga
Springs, NY. Ottawa is a 5-hour drive from Saratoga Springs.
Invited Speakers
Robert Coulter, University of Delaware
Gohar Kyureghyan, Otto-von-Guericke Universitat Magdeburg
Michel Lavrauw, University of Padova
Petr Lisonek, Simon Fraser University
Renate Scheidler, University of Calgary
Registration
Online registration has now closed, but registration
is available onsite during the Workshop (see
schedule for details). Please note the workshop has a $50 fee to be paid
onsite during workshop.
Contributing a talk: We will have a limited number of contributed
talks and encourage submission of both traditional research talks and tutorial-style
lectures. Please use the comments box below to indicate if you intend to
give a talk, and if so, the topic (briefly) and whether it is a research
or tutorial talk.
Funding: We also have limited funding for the local expenses of students,
post-docs and researchers without grants. Please send an application for
support to finitefields@math.carleton.ca by the funding deadline. We will
give confirmation of funding within one week of the deadline.
Deadlines
Request for funding: May 15, 2015 (see registration details, above)
Contributing a talk: June 5, 2015 (after this date, please contact
the organizers directly)
Registration deadline: July 1, 2015
Schedule, Venue, & Abstracts
The workshop will take place in room HP4351 at the School of Mathematics
and Statistics, Carleton University: Map
Wednesday, July 8
08:45-09:15: Registration
09:15-09:30: Welcome – Daniel Panario, David Thomson and Steven
Wang
09:30-11:00: Invited talk – Michel Lavrauw, Finite semifields:
recent developments and applications
11:00-11:30: Coffee break
11:30-12:30: Invited tutorial: Renate Scheidler, Function Fields
and Curves
12:30-14:00: Lunch
14:00-15:30: Invited talk – Robert Coulter, Coordinatizing
projective planes, revisited
15:30-16:00: Coffee break
16:00-17:00: Tutorial – Morgan Rodgers, Field reduction
techniques in finite geometries
(Optional) 17:00 – Welcome reception in faculty
lounge
Thursday July 9
09:00-09:30: Bence Csajbok, Minimal number of lines meeting
an n-set of PG(2,q), q odd, in an odd number of points
09:30-10:00: Daniele Bartoli, Algebraic curves and random network
codes
10:00-10:30: Felice Manganiello, Theory and applications
of skew polynomial rings
10:30-11:00: Break
11:00-12:30: Invited Tutorial: Renate Scheidler, Function field
and curves
12:30-14:00: Lunch
14:00-14:20 Luciane Quoos, New maximal curves over finite fields
not covered by the Hermitian curve
14:30-15:00 Seyed Hosseini Lavasani, Algorithmic approach
to identify weak trace zero varieties
15:00 Conference Photo
15:00-16:00 Research Break
16:00-17:00 Open problem/rump session
(Optional) 18:00: Walk to Dow's Lake Pavilion (Baja Grill)
Friday July 10
09:00-10:30: Invited talk – Renate Scheidler, Construction
of all function fields of a given square-free discriminant
10:30-11:00: Break
11:00-11:30: Guillermo Matera, On the computation of rational
points of a hypersurface over a finite field
11:30-12:00: Colin Weir, The proportion of non-ordinary hyperelliptic
curves
12:00-12:30: Mohammed Bardestani, The degree of the splitting
field of a polynomial over finite fields
12:30-14:00: Lunch
14:00-15:30: Invited talk - Petr Lisonek, Highly nonlinear functions
on finite fields
15:30-16:00: Break
16:00-16:30: Claudio Qureshi, Estimates for the cycle structure
of iterating Redei functions
16:30-17:00 Tan Yin, Graphs, schemes and codes from quadratic
zero-difference balanced functions
Free evening
Saturday July 11
10:00-11:30 Invited talk – Gohar Kyureghyan, Maiorana-Macfarland
bent functions with respect to the subfield
11:30-11:45: Break
11:45-12:15: David Jao, Subexpression algorithms for space-complexity
reduction of Gaussian normal basis multiplication
12:15: Ending remarks
Travel to Fq12
We may have a very limited number of seats in personal
cars to travel from Ottawa to Saratoga Springs on Sunday, July 12. If you
are planning to drive your own personal or rental car from Ottawa to Saratoga
Springs and have any seats available, please contact us and we will do our
best to arrange rides for those who need them.
There are multiple buses from Ottawa to Saratoga Springs on Sunday, July
12. As of June 25, Advance and Web fares are less than $50. Please see www.greyhound.ca
for more details.
There is also a train from Montreal to Saratoga Springs, leaving Sunday
morning, though this may require spending Saturday night in Montreal. Please
see www.amtrak.com for more information.
For additional inquiries, please contact
the organizers directly at: finitefields (at) math.carleton.ca.
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