SCIENTIFIC PROGRAMS AND ACTIVITIES

Organizers Erhard Neher, Kirill Zainoulline Department of Mathematics and Statistics, University of Ottawa

OVERVIEW

Exceptional algebras and groups have always caught the fascination of mathematicians. While intimately linked to each other, algebras and groups have each their own methods and questions. The purpose of the workshop is to bring together specialists and young researchers from both areas to discuss recent developments and results, to provide an overview of the current research and applications, and to stimulate new advances.

A special feature of this workshop are two mini-courses (4 lectures each) which provide an introduction to the workshop's theme from different perspectives. While introductory, these courses will lead the audience to a survey of the present state of the art.

• Albert Algebras by Holger Petersson.
• Exceptional Moufang polygons by Richard Weiss.

Besides the two mini-courses, there will be invited one-hour talks by the leading experts in the area, as well as talks by young researchers.

Participants may also be interested in a closely related event, the 69th Algebra Day on April 14, 2012, also at the University of Ottawa.

CONFIRMED INVITED SPEAKERS: Abstracts available here

• Vladimir Chernousov (Alberta)
• Alberto Elduque (Zaragoza)
• John Faulkner (Virginia)
• Skip Garibaldi (Emory)
• Nikita Karpenko (Paris 6)
• Max-Albert Knus (ETH Zürich)
• Mark MacDonald (UBC)
• Tom de Medts (Ghent)
• Raman Parimala (Emory)
• Holger Petersson (Hagen) (notes)
• Arturo Pianzola (Alberta)
• Anne Queguiner-Mathieu (Paris 13)
• Richard Weiss (Tufts)
  

*All talks will be in Lamoureux Building (see LMX on the campus map), Room 221

Workshop Program

Thursday April 19, 2012
9:00-10:20 a.m.	Holger Petersson, FernUniversität in Hagen Albert Algebras I
10:30-11:00 a.m	Mark MacDonald, University of British Columbia Essential dimension of the exceptional groups http://www.math.ubc.ca/~mlm/Papers/OttawaTalk2012.pdf
11:10-12:30 p.m.	Richard Weiss, Tufts University Exceptional Moufang polygons I
12:30 a.m.	LUNCH
14:00-15:00 p.m	Arturo Pianzola, Alberta/Mathematical Sciences Serre's Conjecture II, Dessins d'Enfants and Lie algebras of type $D_4$
15:00-15:30 p.m.	BREAK
15:30-16:30 p.m.	Nikita Karpenko, Universite Pierre et Marie Curie / Institut de Mathematiques de Jussieu On $p$-generic splitting varieties
16:30-16:50 p.m.	Hernando Bermudez, Emory University A Unified Solution to Some Linear Preserver
17:00-17:20	Timothy Pollio, University of Virginia The multinorm principle
18:30 CONFERENCE DINNER
Friday April 20, 2012
9:00-10:20 a.m.	Holger Petersson, FernUniversität in Hagen Albert Algebras II
10:30-11:00 a.m	Sanghoon Baek, University of Ottawa Annihilators of torsion of Chow groups of twisted spin flags
11:10-12:30 p.m.	Richard Weiss, Tufts University Exceptional Moufang polygons II
12:30 a.m.	LUNCH
14:00-15:00 p.m	Skip Garibaldi, Emory University Did a 1-dimensional magnet detect $E_8$? slides available here
15:00-15:30 p.m.	BREAK
15:30-16:30 p.m.	John Faulkner, University of Virginia Weyl images of Kantor Pairs
16:30-16:50 p.m.	Caroline Junkins, University of Ottawa The J-invariant and Tits algebras for groups of inner type E6
17:00-17:20	John Hutchens, North Carolina State University k-involutions of Exceptional Linear Algebraic Groups
Saturday April 21, 2012
9:00-10:20 a.m.	Holger Petersson, FernUniversität in Hagen Albert Algebras III
10:30-11:00 a.m	Anne Quéguiner-Mathieu, Université Paris 13 Applications of triality to orthogonal involutions in degree $8$
11:10-12:30 p.m.	Richard Weiss, Tufts University Exceptional Moufang polygons III
12:30 a.m.	LUNCH
14:00-15:00 p.m	Vladimir Chernousov, University of Alberta Groups of type $F_4$ over regular local rings
15:00-15:30 p.m.	BREAK
15:30-16:30 p.m.	Raman Parimala, Emory University R-triviality of certain simply connected groups of type $E_8$
16:30-16:50 p.m.	Igor Rapinchuk, Yale University On the conjecture of Borel and Tits for abstract homomorphisms of algebraic groups
17:00 - 17:20 p.m.	Changlong Zhong, (University of Ottawa) Invariant and characteristic map
Sunday April 22, 2012
9:00-10:20 a.m.	Holger Petersson, FernUniversität in Hagen Albert Algebras IV
10:30-11:00 a.m	Tom De Medts, Ghent University (Belgium) Exceptional Moufang quadrangles and $J$-ternary algebras
11:10-12:30 p.m.	Richard Weiss, Tufts University Exceptional Moufang polygons IV
12:30 a.m.	LUNCH
14:00-15:00 p.m	Alberto Elduque, Universidad de Zaragoza Gradings on the octonions and the Albert algebra http://www.unizar.es/matematicas/algebra/elduque/Talks/GradingsOctonionsAlbert.pdf
15:00-15:30 p.m.	BREAK
15:30-16:30 p.m.	Max Knus, ETH Zurich Triality over arbitrary fields and over $\mathbb F_1$

REGISTERED ATTENDEES (*indicates to be confirmed)

Full Name	University Name
Auel, Asher*	Emory University
Babic, Antonio	University of Alberta
Baek, Sanghoon	University of Ottawa
Bermudez, Hernando	Emory University
Bhaskhar, Nivedita*	Emory University
Billig, Yuly	Carleton University
Boelaert, Lien	Ghent University
Bose, Anirban	Indian Statistical Institute, Delhi Centre
Bumagin, Inna	Carleton University
Chernousov, Vladimir	University of Alberta
De Medts, Tom	Ghent University
Elduque, Alberto	Universidad de Zaragoza
Faulkner, John R.	University of Virginia
Garibaldi, Skip	Emory University
Gille, Stefan	University of Alberta
Hoffnung, Alexander	University of Ottawa
Hutchens, John	North Carolina State University
Junkins, Caroline	University of Ottawa
Karpenko, Nikita	Université Pierre et Marie Curie
Knus, Max	ETH
Larsen, Victor	Emory University
Leclerc, Marc-Antoine	University of Ottawa
MacDonald, Mark	University of British Columbia
Malagon, Audrey	Virginia Wesleyan College
Malagon-Lopez, Jose	University of Ottawa
Mehrdad, Negin	University of Ottawa
Meyer, Jeffrey	University of Michigan
Minchenko, Andrey	University of Western Ontario
Naert, Karsten	Ghent University
Neher, Erhard	University of Ottawa
Nevins, Monica	University of Ottawa
Parimala, Raman	Emory University
Petersson, Holger P.	Fernuniversität Hagen
Pianzola, Arturo	University of Alberta
Pollio, Timothy	University of Virginia
Quéguiner-Mathieu, Anne	Université Paris 13
Racine, Michel	University of Ottawa
Rapinchuk, Igor	Yale University
Salmasian, Hadi	University of Ottawa
Savage, Alistair	University of Ottawa
Sebbar, Abdellah	University of Ottawa
Singh, Anupam	IISER Pune
Steele, Andrew*	University of Nottingham
Talboom, John	Carleton University
Thakur, Maneesh	Indian Statistical Institute
Weiss, Richard	Tufts University
Yahorau, Uladzimir	University of Alberta
Zainoulline, Kirill	University of Ottawa
Zhong, Changlong	University of Ottawa

 

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