Dear all,<\/p>\n\n\n\n
The last colloquium for this semester will be held ONLINE<\/strong> on 4.1.2022<\/strong> at 14:00<\/strong> (Tuesday<\/strong>).<\/p>\n\n\n\n Zoom link: <\/strong>https:\/\/us02web.zoom.us\/j\/82797905845?pwd=VUxHdkwyRzZIOHdDWkF2OC92U0p6UT09<\/a><\/p>\n\n\n\n <\/p>\n\n\n\n Speaker: Eliran Subag (Weizmann)<\/p>\n\n\n\n Date: Tuesday, January 4, 2022<\/strong><\/p>\n\n\n\n Time: 14:00<\/strong><\/p>\n\n\n\n Title: Generalized TAP approach for spherical spin glasses<\/p>\n\n\n\n Abstract: Spherical spin glasses are certain random functions on the sphere in R^N. The fundamental problem in their study in physics — namely, computing the free energy — is equivalent to analyzing the volumes of their level sets as the dimension N tends to infinity. The solution to this problem was famously invented by G. Parisi, (originally for the SK model) who was recently awarded the Nobel Prize. Two and a half decades after its discovery, Parisi’s formula was rigorously proven by Guerra and Talagrand.<\/p>\n\n\n\n Another approach to analyze mean-field spin glass models was proposed in the 70s by Thouless, Anderson and Palmer (TAP). After reviewing the above, I will discuss recent developments in rigorously proving main ingredients from their approach, including a certain representation for the free energy. I will then explain how the free energy can be computed from the latter for the pure spherical models, and their so-called multi-species version for which an analogue of Parisi’s formula is not known.<\/p>\n","protected":false},"excerpt":{"rendered":" Dear all, The last colloquium for this semester will be held ONLINE on 4.1.2022 at 14:00 (Tuesday). Zoom link: https:\/\/us02web.zoom.us\/j\/82797905845?pwd=VUxHdkwyRzZIOHdDWkF2OC92U0p6UT09 Speaker: Eliran Subag (Weizmann) Date: Tuesday, January 4, 2022 Time: 14:00 Title: Generalized TAP approach for spherical spin glasses Abstract:…
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