The paper presents an analytical review of the conference held in the All-Russian State Library for Foreign Literature (November, 2014). It deals with deep historical and socio-cultural roots of the present-day religious dynamics of India, including its main political implications. The wide methodological principle of correlation between India's socio-cultural background and the current state of affairs in Hinduism is denoted as Indo-logics. The paper also deals with bilateral processes of internal consolidation of Hinduism within the Republic of India as well as of the gradual transformation process of Hinduism into one of the biggest religions on international scale. Both sides of these phenomena are analysed in connection with ambivalent processes of the Indian inner modernization during the 19th-21st centuries, and also with general global socioeconomic and intellectual trends of the current history, including mass migrations, the expansion of mass media, deep crisis of the present-day semi-industrial modes of school and university education, etc. The article draws special attention to problems of Indian subaltern strata in the present-day Indian religious dynamics, including the "neo-Buddhist renaissance" and Christian conversions among Indian "untouchables".