Goncharov's Conjecture and Higher Chow Groups

Explore Goncharov's conjecture and its connections to higher Chow groups in this 54-minute conference talk delivered by B. Vasily from HSE University as part of the NCCR SwissMAP workshop on polylogarithms, homology of linear groups, and Steinberg modules. Delve into advanced topics in algebraic K-theory and motivic cohomology, examining the intricate relationships between polylogarithmic functions and algebraic cycles. Investigate the mathematical framework underlying Goncharov's influential conjecture and understand how higher Chow groups provide crucial insights into the structure of these complex mathematical objects. Gain exposure to cutting-edge research in arithmetic geometry and algebraic topology through this specialized presentation aimed at researchers and advanced graduate students working in related fields.