PIRSA:18070043

Quantized lattices and combinatorics - Zsuzanna Dancso

APA

(2018). Quantized lattices and combinatorics - Zsuzanna Dancso. Perimeter Institute. https://pirsa.org/18070043

MLA

Quantized lattices and combinatorics - Zsuzanna Dancso. Perimeter Institute, Jul. 09, 2018, https://pirsa.org/18070043

BibTex

          @misc{ pirsa_PIRSA:18070043,
            doi = {10.48660/18070043},
            url = {https://pirsa.org/18070043},
            author = {},
            keywords = {Mathematical physics},
            language = {en},
            title = {Quantized lattices and combinatorics - Zsuzanna Dancso},
            publisher = {Perimeter Institute},
            year = {2018},
            month = {jul},
            note = {PIRSA:18070043 see, \url{https://pirsa.org}}
          }
          

Abstract

Quantized lattices, or q-lattices, appear naturally through categorification constructions (for example from zigzag-algebras), but they haven't been studied from a lattice theory point of view. After establishing the necessary background, we'll explain the q-versions of various lattice theory concepts illustrated with examples from combinatorics and graph theory, and we'll list a number of open problems.