Abstract
Unicity and existence of bounded solutions are interesting results not just for PDE (Partial Differential Equations) but can also be extended to minimization problems in Calculus of Variations. These results also have a very interesting behavior. The reasoning and research involved in these theoretical results were part of an artistic process in performance art: the performance piece “On Self Codes”. This paper is devoted to the development of possible connections between mathematics research in Calculus of Variations and performance art through a case study. How can one construct a performance art piece inspired on specific research within mathematics, without translation and using intersubjectivities instead? How can we relate two different fields without using them hierarchically? Can we agree on affirming that this type of work is a statement regarding transdisciplinarity, or it maps the ways in which a contemporary body of work can be shaped today? Are these two features incompatible? These are some of the questions that originated this paper.
Highlights
In the last decades, many studies have been developed around possibilities of connecting different fields of study and/or practice: arts-based research, qualitative research, transdisciplinary research, as in the works by Denzin & Lincoln (2005), B. Nicolescu (2012), J. Saldaña (2013), among many others
The depart point of “On Self Codes” was the question: how to connect the results in my mathematics research to the construction of a performance, as an infiltration, permeating its own agenda? I decided to start with the specific problems for which the Strong Maximum Principle was proven and let them influence the creation process of a performance art piece on selfpresentations as codes on possibilities of a contemporary body
It is interesting to thing about different ways of connecting different fields in order to create other modes of understanding artistic production and artistic creation in performance art nowadays
Summary
Many studies have been developed around possibilities of connecting different fields of study and/or practice: arts-based research, qualitative research, transdisciplinary research, as in the works by Denzin & Lincoln (2005), B. Nicolescu (2012), J. Saldaña (2013), among many others. I decided to start with the specific problems for which the Strong Maximum Principle was proven and let them influence the creation process of a performance art piece on self (re)presentations as codes on possibilities of a contemporary body. The SMP disseminated itself along the creation process in several directions – sound, movement, meaning – within the idea of coding self(re)presentations coming from some well-known performance techniques: the use of some objects and props to purpose more layers of relating possibilities, defying images’ length, undressing and dressing in-between actions. In #3: Performance, I intend to explore thought as a body experience through movement; and in #4: Identity, I explore the geometrical idea behind SMP, that is, to explore the way I connect the several ideas, objects as subjects, into “On Self Codes”: with positiveness above the trivial, open boundaries and some symmetry as tools. The video projected on the wall along the performance can be seen here: https://www.youtube.com/watch?v=zu99r4ntZoI
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