Priority Research Centre for Computer-AssistedResearch Mathematics and its Applications
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Upcoming CARMA Events

 CARMA SPECIAL SEMESTER Special Semester on Mathematical Thinking Location: Dates: Mon, 5th Nov 2018 - Fri, 31st May 2019 The next CARMA special semester programme is on the theme of Mathematical Thinking, examining the conceptual and neurological basis of mathematical thought and creativity, different aspects of which are associated with brain structures evolved for different purposes. It will explore links to machine learning, which plays a critical role as a model for cognition, as well as cognitive psychology, neuroscience, philosophy and pure and applied mathematics, through a series of workshops and other events. Please visit the semester's webpage for details. Events will also be listed on the events page of the CARMA website. [Permanent link] SYMMETRY IN NEWCASTLE Location: MC102, McMullin (Callaghan), The University of Newcastle Dates: 12:00 pm - 4:30 pm, Fri, 1st Mar 2019 Schedule: 12-1: Marcelo Laca 1-2: Lunch 2-3: Zahra Afsar 3-3.30: Tea 3.30-4.30: Aidan Sims Evening: Dinner Speaker: Dr Zahra Afsar, The University of Sydney Title: TBA Speaker: Prof. Marcelo Laca, University of Victoria Title: TBA Speaker: Prof. Aidan Sims, University of Wollongong Title: TBA [Permanent link] CARMA COLLOQUIUM Speaker: Dr Michael Coons, CARMA, The University of Newcastle Title: Mahler's methods: theorems, speculations and variations Location: TBAThe University of Newcastle Time and Date: 4:00 pm, Thu, 7th Mar 2019 Abstract: Mahler's method in number theory is an area wherein one answers questions surrounding the transcendence and algebraic independence of both power series $F(z)$, which satisfy the functional equation $$a_0(z)F(z)+a_1(z)F(z^k)+\cdots+a_d(z)F(z^{k^d})=0$$ for some integers $k\geqslant 2$ and $d\geqslant 1$ and polynomials $a_0(z),\ldots,a_d(z)$, and their special values $F(\alpha)$, typically at algebraic numbers $\alpha$. The most important examples of Mahler functions arise from important sequences in theoretical computer science and dynamical systems, and many are related to digital properties of sets of numbers. For example, the generating function $T(z)$ of the Thue-Morse sequence, which is known to be the fixed point of a uniform morphism in computer science or equivalently a constant-length substitution system in dynamics, is a Mahler function. In 1930, Mahler proved that the numbers $T(\alpha)$ are transcendental for all non-zero algebraic numbers $\alpha$ in the complex open unit disc. With digital computers and computation so prevalent in our society, such results seem almost second nature these days and thinking about them is very natural. But what is one really trying to communicate by proving that functions or numbers such as those considered in Mahler's method? In this talk, highlighting work from the very beginning of Mahler's career, we speculate---and provide some variations---on what Mahler was really trying to understand. This talk will combine modern and historical methods and will be accessible to students. [Permanent link] SYMMETRY IN NEWCASTLE Location: TBAThe University of Newcastle Dates: 12:00 pm - 4:30 pm, Fri, 15th Mar 2019 Schedule: 12-1: Mathai Varghese 1-2: Lunch 2-3: Fedor Sukochev 3-3.30: Tea 3.30-4.30: George Willis Evening: Dinner Speaker: ARC Laureate Fellow George Willis, CARMA, The University of Newcastle Title: TBA Speaker: ARC Laureate Fellow Mathai Varghese, The University of Adelaide Title: TBA Speaker: ARC Laureate Fellow Fedor Sukochev, University of NSW Title: TBA [Permanent link] SYMMETRY IN NEWCASTLE Location: TBAThe University of Newcastle Dates: 12:00 pm - 4:30 pm, Fri, 5th Apr 2019 Schedule: 12-1: Talk 1 1-2: Lunch 2-3: Talk 2 3-3.30: Tea 3.30-4.30: Talk 3 Evening: Dinner Speaker: Dr Arnaud Brothier, University of NSW Title: TBA Speaker: A/Prof. Murray Elder, University of Technology Sydney Title: TBA Speaker: Dr Lawrence Reeves, The University of Melbourne Title: TBA [Permanent link] CARMA WORKSHOP International Workshop on Water Waves and Floating Bodies Location: , Noah's On the Beach Newcastle, NSW Dates: Sun, 7th Apr 2019 - Wed, 10th Apr 2019 The 34th International Workshop on Water Waves and Floating Bodies (IWWWFB) will be held in Newcastle in 2019. Please visit the workshop website for more information. [Permanent link]

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