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}} }
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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.