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The first talk of our seminar is now available to watch and discuss!
Abstract. The global warming crisis is part of a bigger transformation in which humanity realizes that the Earth is a finite system and that our population, energy usage, and the like cannot continue to grow exponentially. If civilization survives this transformation, it will affect mathematics - and be affected by it - just as dramatically as the agricultural revolution or industrial revolution. We should get ready!
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Hi John, on your slides you cited "To understand ecosystems, ultimately will be to understand networks. — B. C. Patten and M. Witkamp"
Could you please share your thoughts, and references perhaps, about if/how this central role of networks resonates with Topology ? Is it an ultimate framework layer to you? And how important/useful could it be regarding studying Earth system ?
Thanks in advance, best
Hi John, on your slides you cited "To understand ecosystems, ultimately will be to understand networks. — B. C. Patten and M. Witkamp" Could you please share your thoughts, and references perhaps, about if/how this central role of networks resonates with Topology ? Is it an ultimate framework layer to you? And how important/useful could it be regarding studying Earth system ? Thanks in advance, best
Condensed matter physicists are making great progress in climate science via topological modeling:
Delplace, Marston, Venaille: Topological Origin of Equatorial Waves
Quanta Magazine: Mathematicians Tame Turbulence in Flattened Fluids
To understand the role of condensed-matter physics in applied physics, this is an interesting read from last week's Physics Today: When condensed-matter physics became king
> re *"... Topology ? Is it an ultimate framework layer to you? And how important/useful could it be regarding studying Earth system ?"* Condensed matter physicists are making great progress in climate science via topological modeling: Delplace, Marston, Venaille: [Topological Origin of Equatorial Waves](http://science.sciencemag.org/content/358/6366/1075) > "Topological effects that arise from material boundaries are well known in solid-state physics and form the basis for topological insulators. Delplace et al. describe atmospheric and ocean waves that appear to have a similar topological origin. The waves exist because of the symmetry-breaking nature of Earth's rotation, which allows certain fixed topological constraints on the system. These findings may be useful for understanding a wide variety of geophysical and astrophysical flows." Quanta Magazine: [Mathematicians Tame Turbulence in Flattened Fluids](https://www.quantamagazine.org/mathematicians-tame-turbulence-in-flattened-fluids-20180627/) > "By squeezing fluids into flat sheets, researchers can get a handle on the strange ways that turbulence feeds energy into a system instead of eating it away." To understand the role of condensed-matter physics in applied physics, this is an interesting read from last week's Physics Today: [When condensed-matter physics became king](https://physicstoday.scitation.org/doi/full/10.1063/PT.3.4110) > "The story of how solid-state physics emerged in the postwar period and was eventually rebranded as condensed-matter physics illuminates some major shifts in the late-20th-century physics community."
Thanks Paul Pukite..very interesting refs..
Thanks Paul Pukite..very interesting refs..
https://ncatlab.org/nlab/show/Top and https://ncatlab.org/nlab/show/nice+category+of+spaces cool..
https://ncatlab.org/nlab/show/Top and https://ncatlab.org/nlab/show/nice+category+of+spaces cool..
Here is one Azimuth thread that is currently discussing the climate behaviors that may have topological origins
QBO and ENSO
Here is one Azimuth thread that is currently discussing the climate behaviors that may have topological origins [QBO and ENSO](/discussion/1471/qbo-and-enso#latest)