PIRSA:15050056

Exact WKD analysis and cluster algebras

Iwaki, K. (2015). Exact WKD analysis and cluster algebras. Perimeter Institute. https://pirsa.org/15050056

Iwaki, Kohei. Exact WKD analysis and cluster algebras. Perimeter Institute, May. 27, 2015, https://pirsa.org/15050056 

          @misc{ pirsa_PIRSA:15050056,
            doi = {10.48660/15050056},
            url = {https://pirsa.org/15050056},
            author = {Iwaki, Kohei},
            keywords = {Mathematical physics},
            language = {en},
            title = {Exact WKD analysis and cluster algebras},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {may},
            note = {PIRSA:15050056 see, \url{https://pirsa.org}}
          }

Kohei Iwaki Nagoya University

Talk numberPIRSA:15050056
DOI10.48660/15050056
Collection
Talk Type Conference
Subject

Abstract

Exact WKB analysis, developed by Voros et.al., is an effective method for the global study of differential equations (containing a large parameter) defined on a complex domain. In the first and second lecture I'll give an introduction to exact WKB analysis, and recall some basic facts about WKB solutions, Borel resummation, Stokes graphs etc. On the other hand, cluster algebras are a particular class of commutative subalgebras of the field of rational functions with distinguished generators. I'll explain about a hidden cluster algebraic structure in exact WKB analysis in the third lecture. This is a joint work with Tomoki Nakanishi (Nagoya).