## Colloquium - Faculty Threads

- Calendar
- Mathematics & Statistics

- Date
- 09.13.2019 3:30 pm - 4:30 pm

### Description

Speaker: Nicholas Kevlahan (McMaster University)

Title: Adaptive wavelets for climate simulation and penalization for ocean modelling

Abstract: Climate models should control error and make optimal use of computational resources. Ocean models need to accurately and efficiently represent complex and time-dependent geometries. In this talk I will briefly describe two research projects I undertook while on sabbatical at the Laboratoire Jean Kuntzmann (LJK) at the Université Grenoble-Alpes. In the first project we use adaptive wavelet techniques to provide, for the first time, dynamic grid adaptivity in the 3D climate model dynamical core. In the second, I will show how a very simple mathematical idea can be used to avoid problems with current vertical coordinate systems and be used to model complex geometries, such as marshland and the melting and freezing of sea ice. This work is in collaboration with Thomas Dubos at École Polytechnique (Paris) and Laurent Debreu at LJK.

Speaker: Miroslav Lovric (McMaster University)

Title: Two Projects in Math Education

Abstract: I plan to outline two SSHRC funded projects that I have been working on: computational thinking and introduction of computer labs into our Math for Life Sciences course (Math 1LS3); and conceptualization of numeracy, resulting in the course design for Numbers of Life (Math 2UU3), and in the creation of an online teaching tool for health numeracy.

Speaker: Eric Sawyer (McMaster University)

Title: "Boundedness of Calderon-Zygmund operators on L^2 spaces - beyond the T1 and Tb theorems of David, Journe and Semmes"

Abstract: "We review the role of cancellation conditions in bounding singular integral operators (such as the conjugate operator that interchanges real and imaginary parts of an analytic function) on L^2 from the early years of odd kernels to the definitive solution in the T1 theorem of David and Journe in the 1980's, and its improvement to the Tb theorem with Semmes - subsequently used to solve in particular the Kato problem. Then we discuss recent extensions to bounding singular integrals from one L^2 space to a different L^2 space."

Coffee and Cookies will be served in the lounge (HH 216) at 3:00 pm. Everyone is welcome.