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SUMMARY:Non-Lorentzian Geometries and their Applications
DTSTART:20250429T080000Z
DTEND:20250501T113500Z
DTSTAMP:20260906T060800Z
UID:indico-event-13346@indico.global
DESCRIPTION: \n\nTopics covered\nThis workshop will be structured around 
 three key themes\, one for each day:\n1. Non-Relativistic String and M-the
 ory\, Non-Relativistic Holography\, Post-Newtonian approximation\;\n2. Car
 roll-related phenomena: Black Holes\, Hydrodynamics\, Cosmology\, Flat Spa
 ce Holography and Fractons\;\n3. Mathematics of Non-Lorentzian Geometries.
 \nMotivations\nIn recent years\, Non-Lorentzian geometries have attracted 
 growing interest due to their applications across various fields\, includi
 ng high-energy physics\, hydrodynamics\, cosmology\, and condensed matter 
 physics.\nNon-Lorentzian geometries can naturally arise from two distinct 
 limit procedures: the non-relativistic limit and its counterpart\, the Car
 roll limit. Applying the non-relativistic limit to string and M-theory all
 ows us to zoom into exactly solvable sectors of more complicated theories.
  This approach has led to exciting recent developments\, such as the formu
 lation of a novel non-AdS holography via the Non-Relativistic AdS/CFT corr
 espondence\, the geometric description of a frame-independent post-Newtoni
 an expansion of gravity theories\, new applications of integrability in no
 n-relativistic sigma models\, and the study of massive non-relativistic hi
 gher-spin modes in the fractional quantum Hall effect.\nConversely\, the C
 arroll limit has proven valuable in flat-space holography\, as the asympto
 tic symmetry group of flat spacetime includes a conformal extension of the
  Carroll group. This limit has also found important applications in hydrod
 ynamics\, cosmology\, the study of null manifolds (such as black hole hori
 zons)\, and in understanding quasiparticles with limited mobility\, known 
 as fractons.\nA common feature of theories emerging from both the non-rela
 tivistic and Carroll limits is that their spacetime geometry is described 
 by singular foliated manifolds\, such as Newton-Cartan manifolds. These ge
 ometries are currently well-studied in mathematics and twistor theory.\nGi
 ven the wide-ranging applications of Non-Lorentzian geometries\, this inte
 rdisciplinary workshop aims to bring together participants from diverse ba
 ckgrounds to exchange ideas and explore new directions.\nRegistration\nReg
 istration is now closed.\n \nOrganisers\nEric Bergshoeff (Groningen)\, An
 drea Fontanella (Trinity College Dublin)\nSponsors\nThe workshop is financ
 ially supported by the Simons Foundation through HMI\, and by the Universi
 ty of Groningen. \n        \n \n \n \n \n\n\nhttps://indico.globa
 l/event/13346/
LOCATION:Hamilton Mathematics Institute\, Trinity College Dublin
URL:https://indico.global/event/13346/
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