University of Calgary

Let K be a quadratic imaginary field, and p be a prime which is inert in K. It is known that the mod p reductions of the j-invariants of elliptic curves defined over the algebraic closure of Q p which admit CM by an order of K are equidistributed...

Beginning with Aristotle, almost every major philosopher and mathematician before the nineteenth century rejected the notion of the actual infinite. They all argued that the only sensible notion is that of potential infinity. The list includes some...

Location: University of Calgary, Mathematical Sciences Building Registration: There is no registration fee, but space is limited and will be granted on a competitive basis with priority given to graduate students. Partial funding will also be awarded...

The summer school is aimed at graduate students and postdocs, although all are welcome. It is being sponsored by the Pacific Institute of Mathematical Sciences (PIMS) Collaborative Research Group (CRG) in Applied, Algebraic, and Geometric Topology...

Maps from a manifold M to a manifold N appear in mathematical physics, image processing, computer vision, medical imaging, and many other areas. This talk introduces a numerical framework for variational problems and partial differential equations...

For elliptic curves, the Mordell-Weil Theorem allows to relate bisections (pre-images of the multiplication by 2) in the group of points of a curve defined over F_q and the quadratic reciprocity of some elements in the field F_q, which can be used to...

Mathematics pervades all the sciences, but it also lies at the heart of a number of fields in the humanities. Two such important subjects which go back to ancient times are linguistics and music. In fact, many of the modern mathematical tools used in...

Let F be a number field. The Arakelov class group Pic_0 F of F is an analog to the Picard group of a curve. This group provides us the information of F such as the class number h_F, the class group Cl(F) and the regulator R_F. In this talk, we will...

Hyperelliptic curves of low genus are good candidates for curve-based cryptography. Hyperelliptic curves comes in two models: imaginary and real. The existence of two points at infinity in real models makes them more complicated than their imaginary...