Tight frames and Approximation

20-23 February 2018

High tide at Taipa beach and estuary

at Taipa, Doubtless Bay, New Zealand

This is the fourth meeting organised by the New Zealand Approximation Theory Group (following those in Christchurch 1999, Westport 2002 and Auckland 2005). The topic Tight frames and Approximation will be interpreted broadly. We plan to allocate lots of time without lectures for informal interactions, including the following working groups

Zauner's conjecture (Shayne Waldron)
Pluripotential theory and algebraic geometry (Sione Ma'u)
Radial basis functions (Rick Beatson)

Taipa is 4.5 hours from Auckland and is easily reached by road (there is also an airport at Kerikeri). It is intended that some speakers will be driven from Auckland by minivan on Monday 19 February (with some scenic stops), and others will drive themselves. There is also a daily bus from Auckland to Taipa. The first and last days will be in Taipa, and the other two in Mangonui (a nearby historic seaside town) and in Honeymoon Valley (a native forest area 15 minutes inland from the Taipa river).
Currently confirmed speakers include:

Marcus Appleby (Sydney), Len Bos (Verona), Martin Buhmann (Giessen),
Oleg Davydov (Giessen), Steve Flammia (Sydney),
Markus Grassl (Max-Planck, Erlangen), Gary Greaves (Singapore), Bill Martin (Worcester),
Dustin Mixon (Ohio State), Kasso Okoudjou (Maryland), Ferenc Szollosi (Aalto)

Participants and their talks

Slides of selected talks

Some restrictions on the characteristic polynomial of a Seidel matrix and equiangular lines in R^17 (Gary Greaves)
Enumeration of Seidel matrices (Ferenc Szollosi)
Negative cliques in sets of equiangular lines (Emily King)
Number-Theoretic Aspects of Maximal Sets of Complex Equiangular Lines (Marcus Appleby)
Transfinite Diameter on Affine Algebraic Varieties (Jesse Hart)
Optimal polynomial meshes and Caratheodory-Tchakaloff submeshes (Paul Leopardi)
Open problems in finite frame theory: Packings in projective spaces (Dustin Mixon)
Grassmannians as universal minimizers of frame potentials (Kasso Okoudjou)
Symmetries of Weyl-Heisenberg SIC-POVMs (Marcus Grassl)
Optimal splitting of normalized tight frames using Walsh matrices (Geetika Verma)
Consistency Error of Meshless Finite Difference Methods (Oleg Davydov)
Lines with few angles from association schemes (Bill Martin)
Approximation by Polynomial Spaces (Len Bos)
Bi-orthogonal structures and averages of derivatives of characteristic polynomials over the classical groups USp(2N), SO(2N) and O−(2N) (N. S. Witte)

Comments by Dustin Mixon

Accommodation

We expect most participants to stay at the Taipa beach resort. The conference rate is $NZ 135 p/n (pool side), $NZ165 p/n (ocean side) per room, plus $25 for additional people. Please book directly with the hotel reservations@taipabay.co.nz (and mention the conference). February/March has the best summer weather in New Zealand.

About the location

Taipa is a small beach settlement in Doubtless Bay in the Far North of New Zealand. Nearby beaches include Cable Bay, Coopers Beach and Matai Bay. Inland there are native forest ecosystems including Mangamuka (where Honeymoon Valley is located) and Puketi. Popular outdoor activities include swimming, fishing, boating and hiking.

Registration

The registration fee is $NZ 120 ($50 for students) if paid before 30 December 2017. To register for the conference (or for any queries) write to waldron@math.auckland.ac.nz.

Final Arrangements

Check here for final details.

Organising committee

Rick Beatson (University of Canterbury)
Sione M'au (University of Auckland)
Shayne Waldron (University of Auckland)

http://www.math.auckland.ac.nz/Conferences/NZATG-2-2018