2020205000 Kolloquium des Instituts f. Chemie
2020205061 Practical Basic Analytical Chemistry
2020205062 Analytical Chemistry
2020205069 Advanced Inorganic Practicum
2020205070 Recent examples from synthetic inorganic chemistry
2020205071 Chemistry of Main Group Elements
2020205072 seminar for bachelor, master and doctoral students: catalysis and organometallic chemistry
2020205092 s- and p-Block Elements
2020205092 s- and p-Block Elements
2020205101 Instrumental Analytical Chemistry
2020205102 Vibrational Spectroscopy
2020205103 Mass Spectrometry
2020205104 Selected Topics in modern Analytical Sciences: Bioanalytical Chemistry
2020205105 Selected Methods of Instrumental Analysis : Electroanalytical Chemistry
2020205106 Lab Course on Advanced Analytical Chemistry
2020205109 Practical course in physical chemistry
2020205110 Molecular Clusters and Nanoparticles
2020205115 General and Inorganic Chemistry (AAC)
2020205117 Physical Organic Chemistry
2020205118 Basic Principles of Chemistry (GRU1/ALL)
2020205120 Solid State Chemistry
2020205125 Organische Chemie der Materialien
2020205126 Group seminar: Ultrafast dynamics in condensed matter (Stähler group)
2020205127 Structure chemistry / Spectroscopy
2020205130 Chemistry of Main Group Elements
2020205130 Chemistry of Main Group Elements
2020205130 Chemistry of Main Group Elements
2020205131 Labortechnisches Praktikum
2020205131 Labortechnisches Praktikum
2020205132 Inorganic chemistry laboratory for beginners
2020205132 Inorganic chemistry laboratory for beginners
2020205133 Seminar for graduate and postgraduate students: Activation of small molecules
2020205137 Transition Metal and Coordination Chemistry
2020205138 Chemical thermodynamics II
2020205138 Chemical thermodynamics II
2020205139 Chemical thermodynamics I
2020205139 Chemical thermodynamics I
2020205140 Antibodies - Production, Bioconjugation and Analysis
2020205141 General Chemistry (ALL)
2020205142 Basic Principles of Chemistry (GRU1/OC)
2020205143 Mathematik für Naturwissenschaften I
2020205144 Mathematics for Chemists
2020205147 Chemical Bonding
2020205149 Seminar
2020205150 Begleitseminar zum Praxissemester
2020205150 Begleitseminar zum Praxissemester
2020205151 Fachdidakdik und Lehr-/Lernforschung Chemie (FLC)
2020205151 Fachdidakdik und Lehr-/Lernforschung Chemie (FLC)
2020205152 Einführung in die fachlichen Grundlagen Chemie
2020205152 Einführung in die fachlichen Grundlagen Chemie
2020205153 Materials and fundamentals of lithium-ion batteries
2020205153 Materials and fundamentals of lithium-ion batteries
2020205154 Group seminar AG Adelhelm
2020205155 Seminar für Bacheloranden, Masteranden, Doktoranden: Theoretische Chemie
2020205156 Physical Chemistry of Materials
2020205158 Organic Chemistry - Structure and Reactivity
2020205159 Biological metabolism
2020205160 Biochemistry
2020205161 Scientifc Working - Bachelor Thesis Seminar
2020205162 Physical Chemistry
2020205163 Physical Chemistry- Seminar and Laboratory Class
2020205164 Current Topics in Optical Nanospectroscopy (AK Kneipp)
2020205165 Organometallic Chemistry
2020205166 Introduction in numerical quantum chemistry
2020205167 Lab Course Advanced Organic Chemistry
2020205168 Mathematik I: Differential- u. Intergralrechnung, Differentialgleichungen
2020205169 Analyse von Peptiden und Proteinen: Anwendungen aus Pharmakologie und Toxikologie
2020205170 Advanced Organic Synthesis
2020205173 Kombi-Modul FW
2020205179 Fundamentals of Physics
4020205000 Colloquium of department of physics
4020205001 Agnes TestLV2
4020205002 Introduction to the Physics Laboratory
4020205003 Physics Basic Lab II: Electricity and Optics
4020205004 Experimental Physics II only for Students of Chemistry (KB) - Laboratory
4020205005 Introductory Physics Laboratory
4020205007 Theoretical Physics IV Advanced Quantum Theory
4020205007 Theoretical Physics IV Advanced Quantum Theory
4020205007 Theoretical Physics IV Advanced Quantum Theory
4020205008 Discrete Quantum Optics
4020205008 Discrete Quantum Optics
4020205008 Discrete Quantum Optics
4020205009 Research Seminar Theoretical Photonics
4020205009 Research Seminar Theoretical Photonics
4020205009 Research Seminar Theoretical Photonics
4020205009 Research Seminar Theoretical Photonics
4020205010 Seminar on the numerics of the Maxwell equations
4020205010 Seminar on the numerics of the Maxwell equations
4020205010 Seminar on the numerics of the Maxwell equations
4020205010 Seminar on the numerics of the Maxwell equations
4020205011 Statistical Physics
4020205012 Joint theory seminar: DESY Zeuthen and pheno group HU Berlin
4020205012 Joint theory seminar: DESY Zeuthen and pheno group HU Berlin
4020205013 Theoretical Particle Physics, Phenomenology at Colliders
4020205013 Theoretical Particle Physics, Phenomenology at Colliders
4020205014 Mathematical tools for a physicist
4020205015 Electronics
4020205015 Electronics
4020205015 Electronics
4020205016 Introduction to Nuclear and Particle Physics
4020205017 Physics I: Mechanics and Thermodynamics
4020205018 Foundations of Quantum Physics
4020205019 Laser Physics
4020205019 Laser Physics
4020205020 Theoretical Atomic, Molecular, and Optical Physics
4020205020 Theoretical Atomic, Molecular, and Optical Physics
4020205020 Theoretical Atomic, Molecular, and Optical Physics
4020205020 Theoretical Atomic, Molecular, and Optical Physics
4020205021 Agnes TestLV3
4020205022 Fundamentals of Optical Sciences
4020205023 Field Theory on the lattice
4020205023 Field Theory on the lattice
4020205024 Top Quark Physics
4020205024 Top Quark Physics
4020205025 Astrophysics with H.E.S.S. and CTA
4020205025 Astrophysics with H.E.S.S. and CTA
4020205026 Research Seminar (POETS): Experimental Particle Physics
4020205026 Research Seminar (POETS): Experimental Particle Physics
4020205027 Scattering Ampltides in Gauge and Gravity Theories
4020205028 Statistical Methods of Data Analysis
4020205029 Dynamical systems: Nonlinear Dynamics
4020205030 Experiments with synchrotron radiation
4020205031 Introduction to Solid State Physics
4020205031 Introduction to Solid State Physics
4020205032 Quantum materials in magnetic fields
4020205032 Quantum materials in magnetic fields
4020205033 Novel Materials
4020205033 Novel Materials
4020205034 Reasearch seminar: Physics with the SHiP experiment
4020205034 Reasearch seminar: Physics with the SHiP experiment
4020205035 Research seminar on macromolecular physics
4020205035 Research seminar on macromolecular physics
4020205036 Search for long-lived particles with ATLAS (H. Lacker)
4020205036 Search for long-lived particles with ATLAS (H. Lacker)
4020205037 Grundlagen der Physik für Agrar- und Gartenbauwissenschaften
4020205038 Introduction to Macromolecular Physics
4020205038 Introduction to Macromolecular Physics
4020205039 Polymer Characterisation Lab
4020205040 Polymer Characterisation
4020205041 Special Topics in Polymer Physics
4020205042 Physics of polyelectrolytes
4020205043 Structure of local field theory
4020205043 Structure of local field theory
4020205044 Renormalization, Hopf Algebras and the renormalization group
4020205044 Renormalization, Hopf Algebras and the renormalization group
4020205045 From the largest to the smallest: The dark Universe & particle physics
4020205046 Presenting physics experiments
4020205047 Introduction to Physics Education, Part 2
4020205048 Selected topics in physics classrooms
4020205049 Nuclear and Particle Physics
4020205049 Nuclear and Particle Physics
4020205050 Radiation Protection Course
4020205050 Radiation Protection Course
4020205051 Introduction to Physics Education
4020205052 Downtown seminar PhD students AG Kreimer
4020205052 Downtown seminar PhD students AG Kreimer
4020205053 Classical Theoretical Physics
4020205054 Physics and Technology of modern Particle Accelerators
4020205055 Advanced topics of computational solid-state theory (C.Draxl)
4020205055 Advanced topics of computational solid-state theory (C.Draxl)
4020205055 Advanced topics of computational solid-state theory (C.Draxl)
4020205056 Selected problems of condensed-matter theory (C. Draxl)
4020205056 Selected problems of condensed-matter theory (C. Draxl)
4020205056 Selected problems of condensed-matter theory (C. Draxl)
4020205057 Mathematical Basics KB
4020205058 Solid State Theory
4020205058 Solid State Theory
4020205059 Cosmology (Experimental)
4020205060 Big Data and Artificial Intelligence in Materials Science
4020205061 Übergangstutorium
4020205063 Practical training in schools
4020205064 Effective Field Theory
4020205065 Advanced Physics Laboratory I
4020205066 Advanced Physics Laboratory
4020205066 Advanced Physics Laboratory
4020205066 Advanced Physics Laboratory
4020205067 Advanced Physics Laboratory KM
4020205068 Nanospectroscopy for energy relevant materials
4020205073 Comp. Physics II
4020205074 Introduction to Astronomy and Astrophysics
4020205075 Experimentelle Teilchen- und Astroteilchenphysik (D. Berge)
4020205075 Experimentelle Teilchen- und Astroteilchenphysik (D. Berge)
4020205076 Mathematical Models of Photonics (U. Bandelow)
4020205076 Mathematical Models of Photonics (U. Bandelow)
4020205076 Mathematical Models of Photonics (U. Bandelow)
4020205076 Mathematical Models of Photonics (U. Bandelow)
4020205076 Mathematical Models of Photonics (U. Bandelow)
4020205077 Akademische Stunde
4020205078 Introduction to the Physics of Macromolecules and Molecular Systems
4020205078 Introduction to the Physics of Macromolecules and Molecular Systems
4020205078 Introduction to the Physics of Macromolecules and Molecular Systems
4020205079 Experimental Physics III
4020205079 Experimental Physics III
4020205080 Current topics in electron microscopy
4020205080 Current topics in electron microscopy
4020205081 Introduction into particle physics
4020205081 Introduction into particle physics
4020205081 Introduction into particle physics
4020205082 BioPH1, Physik 1 Mechanik (BBIo)
4020205083 Optische Metrologie (A. Peters)
4020205083 Optische Metrologie (A. Peters)
4020205083 Optische Metrologie (A. Peters)
4020205083 Optische Metrologie (A. Peters)
4020205084 Introduction to Quantum Field Theory
4020205085 Physik III Optics
4020205085 Physik III Optics
4020205086 Forschungspraktikum mit Seminar
4020205087 Analysis III
4020205088 Basics and methods of modern crystal growth
4020205089 Experimental Physics: Mechanics/Thermodynamics
4020205089 Experimental Physics: Mechanics/Thermodynamics
4020205089 Experimental Physics: Mechanics/Thermodynamics
4020205090 Gravitational Waves
4020205090 Gravitational Waves
4020205091 Mathematics: Analysis I
4020205093 Applied Photonics
4020205093 Applied Photonics
4020205094 Hybrid Optoelectronic Material Systems
4020205094 Hybrid Optoelectronic Material Systems
4020205094 Hybrid Optoelectronic Material Systems
4020205095 Farbication of hybrid devices
4020205095 Farbication of hybrid devices
4020205097 Physics for students of chemistry I - Mechanics
4020205097 Physics for students of chemistry I - Mechanics
4020205098 Seminar for Nonlinear Dynamics and Statistical Physics
4020205098 Seminar for Nonlinear Dynamics and Statistical Physics
4020205099 Seminar on Neurophysics
4020205099 Seminar on Neurophysics
4020205100 Models of Neural Systems - Theoretical Lecture
4020205111 Integrated Quantum Photonics - Introduction to Research
4020205111 Integrated Quantum Photonics - Introduction to Research
4020205112 Integrated Quantum Photonics - Research Report
4020205112 Integrated Quantum Photonics - Research Report
4020205113 Theoretical Physics II Electrodynamics
4020205113 Theoretical Physics II Electrodynamics
4020205113 Theoretical Physics II Electrodynamics
4020205128 Physics of Semiconductor Devices
4020205129 Advances in Semiconductor Nanostructure Hetrostructures
4020205129 Advances in Semiconductor Nanostructure Hetrostructures
4020205134 Physics of Semiconductors
4020205134 Physics of Semiconductors
4020205136 Peer Mentoring Programm
4020205171 Experimental Physics for Students of Chemistry
4020205171 Experimental Physics for Students of Chemistry
4020205174 Group Theory in Physics
4020205175 Computational Biosignal Analysis I - Introduction to Signal Analysis and Applied Statistics
4020205176 Journal Club Cardiovascular Physics
4020205176 Journal Club Cardiovascular Physics
4020205177 Cardiovascular Physics
4020205177 Cardiovascular Physics
4020205178 Linear Algebra
4020205180 X-Ray Scattering: Basics and Applications in Materials Science
4020205180 X-Ray Scattering: Basics and Applications in Materials Science
4020205181 Nonlinear Optics
4020205181 Nonlinear Optics
4020205181 Nonlinear Optics
4020205182 P/GP Physikalisches Einführungs-und Grundpraktikum
4020205183 Introduction to Electron Microscopy
4020205183 Introduction to Electron Microscopy
4020205184 Practical Course in Electron Microscopy - Basics and Application
4020205184 Practical Course in Electron Microscopy - Basics and Application
4020205184 Practical Course in Electron Microscopy - Basics and Application
4020205185 Einführung in die Stringtheorie
4020205186 Optical Sciences Laboratory
4020205187 Integrable systems
4020205188 Modular forms and applications
4020205188 Modular forms and applications
4020205189 Fundamentals of Optics and Photonics
4020205189 Fundamentals of Optics and Photonics
4020205189 Fundamentals of Optics and Photonics
4020205189 Fundamentals of Optics and Photonics
4020205190 Optics / Photonics: Project and Seminar
4020205190 Optics / Photonics: Project and Seminar

4020205188 Modular forms and applications
Digital- & Präsenz-basierter Kurs

Requirements
complex analysis. The necessary knowledge on elliptic curves will be introduced in the talks.
Structure / topics / contents
Modular forms are certain functions in the upper-half of the complex plane (or q-series) that transform nicely under the action of SL(2,Z). They can be thought as an analog (on the moduli space of elliptic curves) of polynomials (on the Riemann sphere). Many relations between them follow from the fact they form a finite-dimensional vector space, with beautiful consequences in many different areas of mathematics, not limited to arithmetic. They also appear in physics, e.g. in low-dimensional topology, conformal field theory and string theory. The first session will consist of a presentation by the lecturer and discussion for the planning of the next talks by the participants. The first half of the semester will cover the basics. Later on, the participants will select a few advanced topics for presentation, for instance among: Hecke theory and L functions ; Viazovska's theorem on optimal sphere packing in dimension 8 ; mock and quantum modular forms ; modular forms in conformal field theory and the monstruous moonshine ; Bloch-Okounkov theorem and enumeration of branched covering of the torus.
Assigned modules
P27
P28
Amount, credit points; Exam / major course assessment
2 SWS , 4 SP /ECTS (Arbeitsanteil im Modul für diese Lehrveranstaltung, nicht verbindlich) Validation by regular attendance and delivering a talk.
Other
Tuesdays 2pm-3.45pm. Starting date: 03 November 2020.