COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > The Archimedeans (CU Mathematical Society) > Associativity in topology

## Associativity in topologyAdd to your list(s) Download to your calendar using vCal - Sarah Whitehouse (Sheffield)
- Friday 26 January 2018, 19:00-20:00
- MR2, Centre for Mathematical Sciences.
If you have a question about this talk, please contact archim-committee. Familiar operations in arithmetic, such as addition and multiplication of numbers, are associative. This means that the answers we obtain don’t depend on the order in which we carry out the operations. For example, (2+3)4 = 2(3+4), and so we do not normally bother writing the brackets. My work involves the interaction of algebraic conditions like associativity with topology, the study of shapes up to continuous deformations. In topological settings, it turns out that a weaker version of associativity is more natural. This leads to very rich and interesting structures which have become important in many different areas of mathematics, including algebra, geometry and mathematical physics. Similar topological games can be played with other familiar algebraic conditions. Along the way, I’ll talk about a famous sequence of numbers known as the Catalan numbers. They play a key role, because the Catalan numbers count how many different bracketings there are. This talk is part of the The Archimedeans (CU Mathematical Society) series. ## This talk is included in these lists:- Guy Emerson's list
- MR2, Centre for Mathematical Sciences
- The Archimedeans (CU Mathematical Society)
- bld31
- ob366-ai4er
Note that ex-directory lists are not shown. |
## Other listsThe political economy of AIDS in Africa Type the title of a new list here Wolfson College Science Society## Other talksReplication or exploration? Sequential design for stochastic simulation experiments Domain Uncertainty Quantification Slaying (or at least taming) a dreadful monster: Louis de Serres' treatise of 1625 for women suffering from infertility Loss and damage: Insights from the front lines in Bangladesh Smooth muscle specific alternative splicing: super-enhancers point the way Stakeholder perceptions across scales of governance: areas of controversy and consensus related to the Indonesian peatland fires |