Erwin Schrödinger International Institute for Mathematics and Physics (ESI) Courses

Signatures of Fractionalization in Quantum Spin Liquids and Predictions for Experiments

Explore fractionalized excitations in quantum spin liquids, their detection through pump-probe spectroscopy, and potential for creating logical qubits in quantum computation.

• YouTube
• 34 minutes
• On-Demand
• Free Video

Selected Problems of Two-Dimensional Magnetism

Explore key issues in two-dimensional magnetism, including spin fluctuations, magnetic polarons, exciton spectra, and plasmon-magnon hybridization in 2D ferromagnets.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Probing and Controlling Multipolar Orders via Strain and Phonons

Explore multipolar magnets' interaction with phonons and strain fields, focusing on probing and controlling quadrupolar orders in various magnetic systems using advanced theoretical techniques.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Vibronic vs. Orbital Order in Magnetic Insulators

Explore vibronic exchange and order in magnetic insulators, comparing with orbital phenomena. Examine Jahn-Teller effects and spin-vibronic interactions in alkali-doped fullerides.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Hidden Covalent Insulator and Spin Excitations in SrRu2O6

Explore theoretical study of SrRu2O6, combining DFT and DMFT to investigate its antiferromagnetic properties, spin excitations, and the nature of its paramagnetic state.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Helical Ground State and Magnetoelectric Properties of Two-Dimensional Nb3Cl8

Explore helical ground state and magnetoelectric properties of 2D Nb3Cl8, examining ferrovalley coupling, magnetic states, and electric field effects on phase transitions.

• YouTube
• 18 minutes
• On-Demand
• Free Video

Magnetocrystalline Anisotropy of Heavy Rare-Earth Atoms on Graphene

Explore magnetocrystalline anisotropy of heavy rare-earth atoms on graphene using DFT+U method. Uncover electronic and magnetic properties, predict quantum stability, and investigate strain effects.

• YouTube
• 20 minutes
• On-Demand
• Free Video

A p-adic Approach to Differential Equations - Part II

Explore p-adic methods for solving differential equations in this advanced mathematics lecture, delving into algebraicity and transcendence concepts.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

A p-adic Approach to Differential Equations - Lecture 1

Explore p-adic methods for solving differential equations in this advanced mathematics lecture by Masha Vlasenko.

• YouTube
• 37 minutes
• On-Demand
• Free Video

Differential Galois Theory and the Algebraicity of Solutions - Part I

Explore differential Galois theory and algebraicity of solutions in this advanced mathematics lecture, delving into singular differential equations.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

On Katz' Nilpotence Conjecture, p-Determinants, and q-Generalization

Delve into advanced mathematical concepts exploring Katz' nilpotence conjecture, examining p-determinants and their q-generalizations through expert analysis and theoretical frameworks.

• YouTube
• 1 hour 41 minutes
• On-Demand
• Free Video

On Abel's Problem and Gauss Congruences

Delve into advanced mathematical concepts exploring Abel's problem and Gauss congruences, examining their relationships and implications in differential equations and number theory.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

The Arithmetic of Power Series and Applications to Periods

Explore the mathematical foundations of power series arithmetic and their relationship to periods, focusing on singular differential equations and their applications.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Towards a Kontsevich-Zagier Type Conjecture for Holonomic Series

Delve into advanced mathematical concepts exploring holonomic series and their relationship to the Kontsevich-Zagier conjecture through rigorous theoretical analysis.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Ice Clouds Over the Asian Monsoon and Their Role in the Global Climate

Explore the formation and impact of ice clouds in the Asian Summer Monsoon system, examining their crucial role in climate patterns and water vapor transport through aircraft-based observations and simulations.

• YouTube
• 38 minutes
• On-Demand
• Free Video