Paul Balduf<p>Our <a href="https://mathstodon.xyz/tags/workshop" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>workshop</span></a> on <a href="https://mathstodon.xyz/tags/combinatorics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>combinatorics</span></a> in fundamental <a href="https://mathstodon.xyz/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physics</span></a> has three topic days, November 26-28.</p><p>Day 1: Random Geometry for <a href="https://mathstodon.xyz/tags/Quantum" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Quantum</span></a> <a href="https://mathstodon.xyz/tags/Gravity" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Gravity</span></a></p><p>Random geometry is a powerful mathematical framework for studying quantum gravity by modeling it as a statistical physics system, where each Boltzmann configuration corresponds to a spacetime geometry selected from an ensemble with a well-defined probability measure. When considering quantum gravity from a lattice perspective, where spacetime is discrete, the challenge of defining a suitable probability measure becomes a combinatorial problem. </p><p>Day 2: <a href="https://mathstodon.xyz/tags/Causal" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Causal</span></a> Set Theory</p><p>Causal Set Theory is an approach to Quantum Gravity in which spacetime is fundamentally discrete and takes the form of a locally finite partial order, or causal set. The twin questions leading much of the research in this field are: How does the continuum physics of General Relativity arise from an underlying discreteness? And what is the quantum nature of a discrete and dynamical spacetime? <a href="https://mathstodon.xyz/tags/causalset" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>causalset</span></a></p><p>Day 3: Combinatorics in Perturbative <a href="https://mathstodon.xyz/tags/QFT" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>QFT</span></a> </p><p>A unique feature of quantum field theory is the central role that combinatorics plays: from generating Feynman graphs of scalar models to combinatorial maps and higher graph-like objects of sophisticated frameworks such as matrix-/tensor- and group field theories to renormalization Hopf algebras, and the theory of resurgence and asymptotic power series, to name but a few. The focus of this workshop will be on matrix-/tensor-/group-field theories and graph complexes. </p><p>Registration is open for everyone, and of course, free of charge.<br><a href="https://indico.mitp.uni-mainz.de/event/422/registrations/245/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">indico.mitp.uni-mainz.de/event</span><span class="invisible">/422/registrations/245/</span></a></p>