# EVENTS

#### Tools for Mathematical Computation

Location: V206 Mathematics Building
Date: 10:00 am, Tue, 7th Oct 2014

As part of Jon Borwein's Experimental Mathematics Course, he is exploring the uses of the currently available tools for mathematical computation. Each lecture should be independently accessible, so feel free to drop in.

#### School Meeting

Location: V108 Mathematics Building
Date: 10:45 am, Wed, 8th Oct 2014

#### CARMA RHD Meeting

Location: V205 Mathematics Building
Date: 1:00 pm, Thu, 9th Oct 2014

These are the events in the next 7 days. For more, see the events page.

# CONFERENCES

Coming up: NTDU : Number Theory Down Under! (24-25 October, 2014)

# NEWS

#### CARMA welcomes two new Research Associates

CARMA welcomes Dr Ohad Giladi (Functional Analysis) and Dr Paul Vrbik (Computer Algebra) who have recently taken two year Research Associate posts.

#### Maths on Spanish tv

Here is a new ad for the spanish lottery https://www.youtube.com/watch?v=1xfSjDgxCRI Look carefully at the guy with the beard.

#### Group Theory Webinar is back

The international group theory webinar series starts this week: Jan Cannizzo (Stevens Institute of Technology) "An introduction to sofic structures" http://web.stevens.edu/algebraic/GTI/

# HIGHLIGHTS

Selected paper from DocServer
Jonathan M. Borwein, Jon D. Vanderwerff, Shawn Xianfu Wang

ABSTRACT

It is shown that if $k(x)$ is upper semicontinuous and quasi lower semicontinuou s on a Banach space $X$, then $k(x) B_{X^*}$ is the Clarke subdifferential of some locally Lipschitz function on $X$. Related results for approximate subdifferentials are also given. Moreover, on smooth Banach spaces, for every locally Lipschitz function with minimal Clarke subdifferential, one can obtain a maximal Clarke subdifferential map via its `local Lipschitz constant' function. Finally, some results concerning the calculus of local Lipschitz constants are developed.

# MEMBERSHIP

Membership to CARMA offers many benefits and is available by invitation to all University of Newcastle academic staff. Associate membership, also by invitation, is available to external researchers and practitioners for three-year renewable terms. Associate members are expected to visit CARMA with some frequency, typically for a total of three to four weeks in a year, and to be involved in one or more ongoing research projects with CARMA members. CARMA is able to assist with the travel and living costs of such visits.