| 강연자 | 조재현 |
|---|---|
| 소속 | UNIST |
| date | 2022-11-03 |
It is a fascinating and challenging problem to count number fields with bounded discriminant. It has so many applications in number theory. We give two examples. First, we compute the average of the smallest primes belonging to a conjugacy class. Second, we compute the average residue of the Dedekind zeta functions over the family of non-Galois cubic fields.
Counting number fields and its applications
Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields
Topology and number theory
Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms
Sums of squares in quadratic number rings
학부생을 위한 강연: A COMBINATORIAL FORMULA FOR INFORMATION FLOW IN A NETWORK
Number theoretic results in a family
Conservation laws and differential geometry
It all started with Moser
Unique ergodicity for foliations
Nonlocal generators of jump type Markov processes
Weak and strong well-posedness of critical and supercritical SDEs with singular coefficients
Seifert fiberings
Iwahori-Hecke algebras and beyond
Unprojection
Brownian motion with darning and conformal mappings
Anomalous diffusions and fractional order differential equations
Idempotents and topologies
Hamiltonian dynamics, Floer theory and symplectic topology
A dissipative effect on some PDEs with physical singularity
