<div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div>Hi,</div><div><br></div><div>Today Bálint Tóth will give the second concluding part of his lecture on "A <span class="gmail-il">Bird</span>'s-Eye
View on the Quantum Heisenberg Model". You can find the abstract of the talk
at the bottom of this
email.<br></div><div><br></div><div>You can join using the following Zoom link: <a href="https://berkeley.zoom.us/j/96826613566?pwd=MUZtOGllSklFM2d0NGhwaFBqNXhjdz09" target="_blank">https://berkeley.zoom.us/j/96826613566?pwd=MUZtOGllSklFM2d0NGhwaFBqNXhjdz09</a> (due to the default privacy settings <b>you need to sign into your Zoom account before clicking on the above link</b>).</div><div><br></div><div>After the seminar we will have room for informal discussions as well on gather.town: <a href="https://gather.town/i/Cj5bz5oe">https://gather.town/i/Cj5bz5oe</a> (to avoid unwanted echoes it is recommended to use Google Chrome or the dedicated gather.town app)</div><div><br></div><div>Best,</div><div><br></div><div>András</div><div><br></div><div>2021.05.06. 16:30 CET -- <b>Speaker: Bálint Tóth</b> (University of Bristol and Rényi Institute)<br><br><b>Title:</b> A <span class="gmail-il">Bird</span>'s-Eye View on the Quantum Heisenberg Model (Part II)<br><br><b>Abstract:</b>
The quantum Heisenberg model is the emblematic model of quantum
statistical physics. Despite its relative simplicity (at the level of
definition) it exhibits most interesting physical phenomena, like
emergence of so-called <i>off diagonal long range order</i> at low
temperatures, in dimension 3 or more. This phase transition is closely
related to the notorious Bose-Einstein condensation. From a mathematical
point of view, these phenomena are only partly established with full
rigour. There are plenty of challenges left for next generations of
mathematicians and mathematical physicists. I will define the model,
state the problems, present some of the existing main mathematical
results, open problems and conjectures.<br><br>Warning: All results and conjectures presented are about 30 years old, or older. These seem to be truly hard problems.</div></div></div></div></div>
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