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What's Happening This Week In Mathematics....

 

SFU/UBC Number Theory Seminar

Thursday, January 29, 2015 | 3:30 pm | ASB 10940


Speaker: Nils Bruin (SFU)

Title: Genus 2 curves with (3, 3)-isogenies and 3-torsion in Sha

Abstract: We parametrize genus 2 curves with a maximal isotropic (Z/3)^2 in their Jacobian, together with an explicit description of the associated isogeny. This allows us to perform (3, 3)-isogeny descent on various simple principally polarized abelian surfaces and exhibit non-trivial 3-part in their Tate-Shafarevich groups. This is joint work with Victor Flynn and Damiano Testa.


CSC Weekly Seminar - Richard Vaughan

Friday, January 30, 2015
TASC-2, Rm 8500
2:30 pm

Speaker: Richard Vaughan, SFU

Title: “Intelligent" Interactions with Surprisingly Simple Robots

Abstract: Sensing and state estimation for autonomous mobile robots has improved dramatically in the last few years, but we do not see robots around us yet. How should robots behave around people and each other to get things done? My group works on behavioural strategies for mobile robots that exploit the new sensing capabilities, and allows them to perform sophisticated, robust interactions with the world and other agents.
I’ll show videos of a series of novel vision-mediated Human-Robot Interactions with teams of driving and flying robots. I’ll also describe work on adaptive path planning and task allocation where we reach very good performance on hard optimization problems.
In most cases the mechanisms we use are surprisingly simple, and we like it that way.

Richard Vaughan is Associate Professor of Computing Science at Simon Fraser University, where he directs the Autonomy Lab.
http://autonomylab.org

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Upcoming Events

  • Discrete Math Seminar
    1:30 PM - 2:30 PM
    February 3, 2015
    No Description
  • Discrete Math Seminar
    1:30 PM - 2:30 PM
    February 3, 2015
    Speaker: Manuel Kauers (RISC) Title: Walks in the Quarter Plane with Multiple Steps
  • Operations Research Seminar
    2:30 PM - 3:30 PM
    February 5, 2015
    Abstract: In this talk, we propose an explicit exchange algorithm for solving semi-infinite programming problem (SIP) with second-order cone (SOC) constraints. We prove, by using the slackness complementarity conditions, that the algorithm terminates in a finite number of iterations and the obtained solution sufficiently approximates the original SIP solution. In existing studies on SIPs, only the nonnegative constraints were considered, and hence, the slackness complementarity conditions were separable to each component. However, in our study, the existing componentwise analyses are not applicable anymore since the slackness complementarity conditions are associated with SOCs. In order to overcome such a difficulty, we introduce a certain coordinate system based on the spectral factorization. In the numerical experiments, we solve some test problems to see the effectiveness of the proposed algorithm. Speaker: Soon-Yi Wu Title: On finite convergence of an explicit exchange method for convex semi-infinite programming problems with second-order cone constraints
  • Number Theory Seminar
    3:30 PM - 4:30 PM
    February 5, 2015
    Abstract: Darmon outlined a program which is suited to potentially resolving one parameter families of generalized Fermat equations. He gave explicit descriptions of Frey representations and conductor calculations for Fermat equations of signature (p,p,r). Somewhat less explicit results are stated for signature (r,r,p), and even less for signature (q,r,p). For the equation (r,r,p), there are at least three competing Frey curve constructions: superelliptic curves of hypergeometric type due to Darmon, hyperelliptic curves due to Kraus, and elliptic curves with models over totally real fields due to Freitas. I will survey these Frey curve constructions and end by giving explicit Frey hyperelliptic curves for signatures (2,r,p) and (3,5,p). Speaker: Imin Chen (SFU) Title: Some explicit Frey hyperelliptic curves
  • Discrete Math Seminar
    1:30 PM - 2:30 PM
    February 17, 2015
    No Description
  • Discrete Math Seminar
    1:30 PM - 2:30 PM
    February 24, 2015
    No Description
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